Please help with any of this Im stuck and having trouble with pre calc is it basic triogmetric identities using quotient and reciprocal identities
Answers
How I was taught all of these problems is in terms of r, x, and y. Where sin = y/r, cos = x/r, tan = y/x, csc = r/y, sec = r/x, cot = x/y. That is how I will designate all of the specific pieces in each problem.
#3
Let's start with sin here. [tex]\frac{2\sqrt{5}}{5} = \frac{2}{\sqrt{5}}[/tex] Therefore, because sin is y/r, r = [tex]\sqrt{5}[/tex] and y = +2. Moving over to cot, which is x/y, x = -1, and y = 2. We know y has to be positive because it is positive in our given value of sin. Now, to find cos, we have to do x/r.
cos = [tex]\frac{-1}{\sqrt{5}} = \frac{-\sqrt{5}}{5}[/tex]
#4
Let's start with secant here. Secant is r/x, where r (the length value/hypotenuse) cannot be negative. So, r = 9 and x = -7. Moving over to tan, x must still equal -7, and y = [tex]4\sqrt{2}[/tex]. Now, to find csc, we have to do r/y.
csc = [tex]\frac{9}{4\sqrt{2}} = \frac{9\sqrt{2}}{8}[/tex]
The pythagorean identities are
sin^2 + cos^2 = 1,
1 + cot^2 = csc^2,
tan^2 + 1 = sec^2.
#5
Let's take a look at the information given here. We know that cos = -3/4, and sin (the y value), must be greater than 0. To find sin, we can use the first pythagorean identity.
sin^2 + (-3/4)^2 = 1
sin^2 + 9/16 = 1
sin^2 = 7/16
sin = [tex]\sqrt{7/16}[/tex] = [tex]\frac{\sqrt{7}}{4}[/tex]
Now to find tan using a pythagorean identity, we'll first need to find sec. sec is the inverse/reciprocal of cos, so therefore sec = -4/3. Now, we can use the third trigonometric identity to find tan, just as we did for sin. And, since we know that our y value is positive, and our x value is negative, tan will be negative.
tan^2 + 1 = (-4/3)^2
tan^2 + 1 = 16/9
tan^2 = 7/9
tan = -[tex]\sqrt{7/9} = \frac{-\sqrt{7}}{3}[/tex]
#6
Let's take a look at the information given here. If we know that csc is negative, then our y value must also be negative (r will never be negative). So, if cot must be positive, then our x value must also be negative (a negative divided by a negative makes a positive). Let's use the second pythagorean identity to solve for cot.
1 + cot^2 = [tex](\frac{-\sqrt{6}}{2})^{2}[/tex]
1 + cot^2 = 6/4
cot^2 = 2/4
cot = [tex]\frac{\sqrt{2}}{2}[/tex]
tan = [tex]\sqrt{2}[/tex]
Next, we can use the third trigonometric identity to solve for sec. Remember that we can get tan from cot, and cos from sec. And, from what we determined in the beginning, sec/cos will be negative.
[tex](\frac{2}{\sqrt{2}})^2[/tex] + 1 = sec^2
4/2 + 1 = sec^2
2 + 1 = sec^2
sec^2 = 3
sec = -[tex]\sqrt{3}[/tex]
cos = [tex]\frac{-\sqrt{3}}{3}[/tex]
Hope this helps!! :)
Answer:
sin(θ)=√7/4
tan(θ)= - √7/3
Step-by-step explanation:
c^2= √(4^2-(-3^2))
c^2= √(16-9)
c^2= √7
sin(θ)= opp/hyp=√7/4
tan(θ)= (opp )/adj= - √7/3
Related Questions
if a probability of a player a is 0.3 then the probability of a player b is how much?
Answers
Answer:
0.7
Step-by-step explanation:
The total probability is equal to 1
To find the probability of player b we take the probability of player a and subtract it from the total probability of 1
Hence 1-0.3=0.7
Answer:
0.7
Step-by-step explanation:
→ Minus 1 from the probabilities as all probabilities add up to 1
1 - 0.3 = 0.7
All parallelograms have two pairs of opposite sides that are parallel and all squares are parallelograms. Based on this description, which statement is true?
A. All squares have two pairs of opposite sides that are parallel.
B. All squares have two pairs of opposite sides that are perpendicular.
C. All squares have four right angles.
D. All squares have four sides that are the same length.
Answers
Evaluate 3xy²-y³ for x=-1 and y=2.
help.
Answers
Step-by-step explanation:
=3xy²-y³
=3(-1)(2)²-(2)³
=3(-1)(4)-(8)
= -12-8
= -20
hope it helps.
Each month, Jacob's Bank
statement shows a withdrawal
of $30 for his gym membership.
What was the total withdrawal
for the year?
Answers
Answer:
360$
Step-by-step explanation:
Calculators are cool.
Answer:
The total withdrawal is $360 dollars/
Step-by-step explanation:
12 months in a year
so
30 * 12 = 360
$360
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
The height of a skydiver jumping out of an airplane is given by n = -16t^2 + 3200. How long will it take the skydiver to reach the ground? Round to the nearest tenth of a second.
Answers
Answer:
0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s
The time taken by the skydiver to reach the ground is 14.1 second.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.
Here, n=0
-16t² + 3200=0
-16t²=-3200
t²=200
t=√200
t=14.14
t=14.1 second
Therefore, the time taken by the skydiver to reach the ground is 14.1 second.
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What is the distance between the points (12, 6) and (−8, 6) on a coordinate plane? *
4 units
12 units
6 units
20 units
Answers
Answer:
im pretty sure it is "4 units"
Step-by-step explanation:
Rachel rode her bike 3(3/4) times on a trail around a lake that is 6 miles long. Which statement is true?
Answers
Answer:
beats me
Step-by-step explanation:
ask urself
I need help pls and thank you
Answers
The value of x can be 5 and x.
The value of y can be -2 and y.
Help plz giving out brianlest and 67 points please help
Answers
pls help for #9! whats the area of the shaded region ?
Answers
Answer:
21.5
Step-by-step explanation:
square is 10x10 = 100
circle is A=πr2=π·5²≈78.54
100-78.54 = 21.46 = 21.5
Answer:
21.5 sq cm
Step-by-step explanation:
Area of Square:
A= LXW= 10x10= 100 sq cm
Area of Circle=
A=πr²
Radius= D/2= 10/2= 5 cm
A=3.14(5²)
A=3.14(25)= 78.5 sq cm
Shaded Region= 100-78.5= 21.5
The area of the shaded region is 21.5 sq cm.
Miki already knew 4 appetizer recipes before starting culinary school, and she will learn 1 new appetizer recipe during each week of school. Write an equation that shows the relationship between the number of weeks x and the number of appetizer recipes y.
Answers
Answer:
y = 4 + x
Step-by-step explanation:
Appetizer recipe Miki knows already = 4
Appetizer recipe learnt per week = 1
x = number of weeks
y = total number of appetizer recipes Miki knows
Equation that shows the relationship between the number of weeks x and the number of appetizer recipes y
y = 4 + x
Select all the values that are equivalent to 9 pennies 1: model of 9 hundredths 2: 90/100 3: model of 9/10 4: 9/100 5: 9/10 6: $0.09
Answers
Point Z(-5, -6) was translated to Z'(-8, 4). Describe the direction and distance of the
translation.
Answers
Answer:
please send an image so I can further assist
Plz help I’ll give brainliest
Answers
Answer:
1) not possible 2)f(x)=-2y+2 3)4
Step-by-step explanation:
2x-3=2x-16
ava gathered data about the age of runners and the time it took them to complete a 5K race and half marathon. Her data is displayed in the given scatter plots
Answers
Based on the information provided by the table, it can be inferred that Running the half marathon took more than double the time than running the 5K. (option C)
How to read the graph?The graphs shown relate the time and age of athletes who ran 5k and half marathon.
The first graph shows the relationship in 5k, in which all the athletes, regardless of their age, managed to complete the test between 20 and 30 minutes.
The second graph shows the relationship in the half marathon, in which the younger runners completed the test in less time (80 minutes) than the older athletes (140 minutes).
According to this information, it can be inferred that the athletes took more than twice the time used in the 5k race to complete the half marathon (option C)
Note: This question is incomplete because the graph and the options are missing. Here are the options and the graph.
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what is 2x-6=16
please help
Answers
2x=16+6
2x=22
X=22/2
X=11
Answer:
x=11
Step-by-step explanation:
step 1- add 6 to both sides
2x-6+6=16+6
step 2- divide both side by 2
2x/2 22/2
x=11
I suggest using a calculator called Math Papa that's what I use for equations
When rounding to the nearest hundred thousand what is the greatest whole number that rounds to 400,000
Answers
Answer:
449,999
Step-by-step explanation:
Given that:
Greatest whole number that round to 400,000 when rounding to the nearest hundred thousand :
To obtain the greatest whole number which rounds to 400,000, the whole number is greater Tha 400,000 and its 10 thousand digit in the number or value to be rounded must be lesser than 5.
The value would be 449,999 ; here z the 10 thousand value which is 4 is rounded to zero since it is not up to 5 and the subsequent digits also rounded to 0 to give ;
400,000 (nearest hundred thousand).
1 point
When solving the system of equations below, what is the appropriate
substitution?
7x + 10y = -1
x = 5y - 8
O 7x + 10(5y - 8) = -1
7x + 10y = 5y - 8
O 7(5y - 8) + 10y = -1
O -1 = 5y- 8
Answers
find h of the following cone
Answers
Find the values of the variables and the lengths of the sides of this kite.
Answers
What’s the answer??????
Answers
Answer:
50p
Step-by-step explanation:
you can add them all up together. 27+3+6+14=50!
Find the cosine of angle E.
A) 39/80
B) 39/89
C) 80/39
D) 80/89
Answers
Answer:
B) 39/89
Step-by-step explanation:
With reference angle E
hypotenuse (h) = 89
base (b) = 39
cosine angle E
= b /h
= 39/89
the answer isn't 8-2root3 btw
Answers
Answer:
1.41226231144
Step-by-step explanation:
Answer:
Step-by-step explanation:
16cos(30)-20sin(60) -8sin(90)
look at the pattern of the numerators Millie, you can remember all of the sin and cos functions at the special angles now. :)
sin(0) = 0 / 2
sin(30) = 1 / 2
sin(45) = [tex]\sqrt{2}[/tex] / 2
sin(60) = [tex]\sqrt{3}[/tex] / 2
sin(90) = [tex]\sqrt{4}[/tex] / 2 aka 1
now the numerators just count up from 90°
cos(90) = 0 / 2
cos(60) = 1 / 2
cos(45) = [tex]\sqrt{2}[/tex] / 2
cos(30) = [tex]\sqrt{3}[/tex] / 2
cos(0) = [tex]\sqrt{4}[/tex] / 2 aka 1
see the pattern.. it's pretty easy to memorize, knowing that :)
now let's use the above to plug into the given equation
16* [tex]\sqrt{3}[/tex] / 2 - 20* [tex]\sqrt{3}[/tex] / 2- 8*[tex]\sqrt{4}[/tex] / 2
8* [tex]\sqrt{3}[/tex] - 10 [tex]\sqrt{3}[/tex] -8
-2*[tex]\sqrt{3}[/tex] - 8
this isn't quite the same answer as you got before.. I feel like it's right
Does this triangle have a hypotenuse about 39 feet long
Answers
Answer:
hypotenuse is about 33 ft long
Step-by-step explanation:
a^2+b^2=c^2
a= 30
b=14
30^2+14^2= 1096 =c^2
[tex]\sqrt{1096}[/tex]=c
33.1=c
hypotenuse is about 33 ft long
Answer:
No, the Hypotenuse is 33.11
Step-by-step explanation:
The formula for finding a hypotenuse is:
[tex]\sqrt{x^2+y^2}[/tex]
x=30 and y=14 here
[tex]x^2=900[/tex]
[tex]y^2=196[/tex]
[tex]x^2+y^2= 1,096[/tex]
[tex]\sqrt{1,096} = 33.11[/tex]
So it would be about 33, not 39
Answer ASAP pls pls
Answers
Answer:
21x +11 is the answer hope this helps
a polygon has 50 sides
all but one of its angle is 170 degrees
what is the size of the other angle?
Answers
Answer:
.2 degrees
Step-by-step explanation:
180-170 is 10
10/50 is .2
The size of the other angle will be 0.2 degrees.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
It is given that a polygon has 50 sides but one of its angles is 170 degrees.
The remaining angle will be calculated as:-
180-170 = 10
The size of the other angle is calculated below:-
Angle = 10/50
Divide the value 10 by 50 to get the angle.
Angle = 0.2
Therefore, the size of the other angle will be 0.2 degrees.
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Which of the following are written in point-slope
form?
a) y + 2 = -9(x + 3)
b) y - 7 = 5(x + 1)
c) x - y = -3
d) y = -x +6
Answers
Answer:
y + 2 = -9(x + 3) and y - 7 = 5(x + 1)
Step-by-step explanation:
[tex]\text{Point-Slope form is:}\\\\y-y_1=m(x-x_1)\\\\\text{m - slope}\\\\(x_1,y_1) \text{ - a point}[/tex]
----------------------------------------
[tex]\text{Options A and B are written in point-slope form.}\\\\\\y+2 =-9(x+3)\\\\\text{The slope is -9 and the point used is (-3, -2).}\\\\\\y-7=5(x+1)\\\\\text{The slope is 5 and the point used is (-1, 7).}[/tex]
-----------------------------------------
[tex]\text{Option C is written in Standard Form.}\\\\Ax+By=C\\\\\\\text{Option D is written in Slope-Intercept Form.}\\\\y=mx+b\\\\\text {m - slope}\\\\\text{b - y-intercept}[/tex]
Hope this helps.
States that have no income tax tend to have:
A. higher federal taxes.
B. higher property taxes or sales taxes.
C. lower federal taxes.
D. lower property taxes or sales taxes.
Answers
Answer:
b
Step-by-step explanation:
An income tax is a tax levied on persons or companies based on their earnings or profits. States that have no income tax tend to have higher property taxes or sales taxes.
What is income tax?An income tax is a tax levied on persons or companies based on their earnings or profits. In most cases, income tax is calculated as the result of a tax rate multiplied by the taxable income. Taxation rates may differ depending on the taxpayer's attributes and the source of income.
States that have no income tax tend to have higher property taxes or sales taxes. Hence, the correct option is B.
Learn more about Income Tax:
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You are investing $4000 with a 2.5% nominal interest; compare what happens if the interest is compounded annually, quarterly, or continuously for 20 years. 1. Find the value of each of the three accounts after 20 years. Annually Quarterly Continuously
Answers
Compounded gon to be half
Quarter 1.3%
*EXTRA POINTS- SOMEONE PLS HELP ITS AN 8TH GRADE WORD PROBLEM*
Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?
Answers
Answer:
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
Explanation:
We can create an equation. Say the number of videos you rent is given by
n
. We can write that, if we rent
n
videos without membership, we'll have to pay
4
n
. If we rent the same amount of videos with membership, we'll have to pay
21
+
2.5
n
.
To find the value of
n
such that the amount you pay without membership is equal to the amount you pay with, we write:
4
n
=
21
+
2.5
n
1.5
n
=
21
n
=
21
1.5
n
=
14
You need to rent
14
videos, and you'll pay the same amount for both. Renting
15
will make the membership a better method of payment.
