Select the correct answer.
Consider this equation.
cos(8) = -
If 8 is an angle in quadrant II, what is the value of tanê)?
ОА.
15
8
ов. 15
ос. -
✓15
8
OD. 15
Answers
Using trigonometric identities, it is found that the value of the tangent of the angle is given by:
B. [tex]-\frac{\sqrt{15}}{7}[/tex]
What is the tangent of an angle?The tangent of an angle is given by it's sine divided by it's cosine, that is:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
In this problem, we have that:
[tex]\cos{\theta} = -\frac{7}{8}[/tex]
The following identity is applied:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
Then:
[tex]\sin^2{\theta} + \left(-\frac{7}{8}\right)^2 = 1[/tex]
[tex]\sin^2{\theta} + \frac{49}{64} = 1[/tex]
[tex]\sin^2{\theta} = \frac{15}{64}[/tex]
[tex]\sin{\theta} = \pm \frac{\sqrt{15}}{8}[/tex]
Since it is on the second quadrant, it is positive, hence:
[tex]\sin{\theta} = \frac{\sqrt{15}}{8}[/tex]
Applying the tangent equation:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]\tan{\theta} = \frac{\frac{\sqrt{15}}{8}}{-\frac{7}{8}}[/tex]
[tex]\tan{\theta} = -\frac{\sqrt{15}}{7}[/tex]
More can be learned about trigonometric identities at https://brainly.com/question/22591162
Related Questions
Given that sec0=-37/12, what is the value of cot0, for pi/2<0
Answers
Answer:
2nd option
Step-by-step explanation:
Using the identities
tan²θ + 1 = sec²θ
cotθ = [tex]\frac{1}{tan0}[/tex]
Given
secθ = - [tex]\frac{37}{12}[/tex] , then
tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )
tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )
Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then
tanθ = - [tex]\frac{35}{12}[/tex]
Then
cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]
Find the area of the trapezoid.
12.5 cm
6 cm
17.5 cm
A. 90 cm2
B. 118.75 cm2
C. 130 cm2
D. 146.25 cm2
Answers
Answer: A.90 cm^2
Step-by-step explanation: A= a+b/2 h
A= 17.5+12.5/2 *6
A = 30/2*6
A= 15*6
A=90
What is the value of z? Plz help
Answers
Answer: 24
Step-by-step explanation: 58 = 2z - 10
58 - 10 = 48 = 2z
z = 24
Joley is opening her first checking account as a teenager. She doesn't have a job, so most of the income will be presents from birthdays and holidays. Bank A has a $8 monthly charge. Bank B charges 2% of the balance. Which account balance below will result in bank B being a better financial choice?
Answers
Answer:
the answer is A !
Step-by-step explanation:
Sheet metal costs $1.88 per square foot. About how much
will Nick spend to cover the outside of the shed, not
including the bottom?
Answers
Answer:
Final Cost: $364.72
Step-by-step explanation:
We can see a picture of the shed attached below. To find the total cost we need to first find the surface area of the entire shed. The sides are rectangles, so to find the surface area we need to multiply the length by the width. Since there are two rectangular sides we multiply the result by 2.
A = L * W
A = 10 * 4.7
A = 47 sq ft. * 2sides
Total = 94 sq ft.
Now we calculate the bottom which is also a rectangle
A = L * W
A = 10 * 8
A = 80sq ft.
Now we need to calculate the surface area of the triangular sides and multiply the results by 2 since there are two triangular sides. The formula for the area of a triangle is half times base times height...
A = 0.5 * B * H
A = 0.5 * 8 * 2.5
A = 10 sq ft * 2 sides
Total = 20 sq ft
Finally, we need to add the entire surface area and multiply by the cost per square foot to find the total cost.
94 + 20 + 80 = 194 sq ft
194* 1.88 = $364.72
Nic sells advertising packages for a radio station. The company pays him $150 per week and they also pay him $75 for every package he sells. His friend Asia works for the same radio station but she receives a salary only, which is $1,275 per week. How many packages does Nic need to sell in a week to earn as much as Asia?
Answers are:
A) 14
B) 15
C)16
D)20
Answers
Solve the equation
X + 5 = 2
Can anyone please explain this?
Will give brainiest if you did not put the answer or you didn’t try to
You will get reported
Answers
Answer:
x + 5 = 2
x = 2 - 5
x= -3
I hope it's helps you
kristin drove to her friend's house and back. on the trip there she drove 40 km/h and on the return trip she went 50 km/h. how long did the trip there take if the return trip took four hours?
Answers
Answer:
50km/he=4hr
40km/he=?
40*4/50
=3hr12min
4hr+3hr 12min
=7hr12min
232.7449 rounded to the nearest whole number? please help
Answers
Answer:
233
Step-by-step explanation:
Look at the tenths place. It is above 5 so you round to 233,
Answer:
233
Step-by-step explanation:
Simple, 7 is closer to 10 than 0, round up to 233.
PLEASE HELP....
DONT USE BITLY LINK
This is a blueprint drawing of the stage area at Millennium Park. The length of one square on the grid is equal to 5 feet. According to the blueprint, the length of the diagonal of square C is 60 feet. Is that correct? Explain.
Answers
Answer:
No
Step-by-step explanation:
Square contains 10 squares on each side resulting to a length of (10×5) i.e 50 feet.
Using pythogoras theorem
50^2+50^ is not equal to 60^2
Find the area of the given triangles.
Answers
Answer: 1125
Step-by-step explanation:
Two angles are supplementary. One angle is 50° more than the other. Find the measure of the two angles.
Answers
Answer: If one of these angles measures 50 degrees more than the other, find the measure of the smaller angle. A+A+50=180 Subtract 50 from each side. A=65 degrees ANSWER The smaller angle is 65 degrees.
Step-by-step explanation:
Answer:
130°
Step-by-step explanation:
the other angle is 130°
Jesse sent an email to 4 people for a school project. In her email, she requested
that each person copy and send the same email to 4 additional people.
If everyone continues to send the email as requested, which equation could be
used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P.y = 4^x
R. y = 4x
a. y= 4/x
Answers
Answer:
P.y = [tex]4^{x}[/tex]
Step-by-step explanation:
From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.
Thus, the number of emails sent for a given round can be expressed as;
y = [tex]4^{x}[/tex]
Therefore, the appropriate answer is y = [tex]4^{x}[/tex].
So that for four rounds (x = 4), the number of emails sent can be determined as;
y = [tex]4^{x}[/tex]
= [tex]4^{4}[/tex]
y = 256
Answer: y=4^x
Step-by-step explanation:
Exponential growth
Y=ab^x
i will give brainiest 1!!!!!!!
What is x(5-2)(2-2)=12
Answers
Answer: No solution
x(5-2)(2-2)=12
x(3)(0)=12
Since its times by 0 the x goes away and it is
0=12
No solution
Answer:
0=12
Step-by-step explanation
(5−2)(2−2)=12
(3)(2−2)=12
Is the following relation a function? Please help
Answers
Answer:
No it is not a function.
Step-by-step explanation:
It goes through 2 points not 1.
The conversion of stored potential energy into kinetic energy can also be harnessed to power homes, factories and entire cities. Which example from the text supports this conclusion?
A the softball pitcher
B the slingshotting comet
C the archer
D the Hoover Dam
NO BOTS or SCAM PLS
Answers
35^(7/4) in radical form
Answers
radical form= 4√3^7
Please help me!!!!! This one of my last questions.
Answers
Answer:
A = 21.2
Step-by-step explanation:
Assuming that the triangle is equilateral, the area would be approximately 21.2 feet.
A composite shape consists of a square with a semicircle sitting on top of it. The dimension of the square (which is
also the dimension on the half circle) is 20 yards. What is the area of this composite shape?
Answers
Answer:
40m i think
Step-by-step explanation:
hey cutie pls help me thank you
Answers
Answer:
the answer is 2 I believe
Does the quadratic function
f(x) = 4x2 + 5x – 29 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.
Answers
The quadratic function is negative meaning there is no real zeros.
We have given,
The quadratic function
f(x) = 4x^2 + 5x – 29
have one, two, or no real zeros.
What is the form of a quadratic equation?
The general form of a quadratic equation is,
ax^2+bx+c
Compare the given equation with the given equation we get,
a=4, b=5 and c=-29
We can use b^2-4ac which is 25-16*29.
We know that is negative meaning there is no real zeros.
To learn more about the quadratic equation visit:
https://brainly.com/question/1214333
Help me with this problem please please:):)
Answers
What is the constant change for the table ?
Answers
Answer:
$9 per 1 item
Step-by-step explanation:
Answer:
$9 per 1 item
Step-by-step explanation:
Find the volume of the figure
Answers
how do I do probabillty
Answers
Answer:
Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring. In the case of rolling a 3 on a die, the number of events is 1 (there's only a single 3 on each die), and the number of outcomes is 6.
Answer:
what the other guy said
Step-by-step explanation:
Suppose you are given the function f(x) = 7x and asked for f(-6). This is the same as asking for the value of the function at x = ?
Answers
Answer:
the correct answer is -6
The volume of the cube shown is 125 cubic centimeters. Which must be the value of n?
Answers
n = 20.83
125 / 6 = 20.83
their are 6 sides in a cube and 125 cubic centimeters
you're welcome
please help i’m kinda stressed right now.
Answers
Answer:
17) G
18) J
19) F
20) A
hope this helps :)
2. A recipe calls for 2 3/4
Cups of milk. How much is this in mL?
Answers
Which statement is true about subsets of the real numbers?
Answers
Answer:
The real numbers have the following important subsets: rational numbers, irrational numbers, integers, whole numbers, and natural numbers.Aug 28, 2018
Step-by-step explanation:
