please explain as well, solve the trigonometric equation

Please Explain As Well, Solve The Trigonometric Equation

Answers

Answer 1

Given:

The trigonometric equation is:

[tex]\tan x\sin x=\tan x\cos x[/tex]

To find:

The solutions for the given equation over [tex]0^\circ<x\leq 360^\circ[/tex].

Solution:

We have,

[tex]\tan x\sin x=\tan x\cos x[/tex]

It can be written as

[tex]\tan x\sin x-\tan x\cos x=0[/tex]

[tex]\tan x(\sin x-\cos x)=0[/tex]

[tex]\tan x=0[/tex] and [tex](\sin x-\cos x)=0[/tex]

The solutions over [tex]0^\circ<x\leq 360^\circ[/tex] are:

[tex]x=90^\circ,180^\circ[/tex] and [tex]\sin x=\cos x[/tex]

[tex]x=90^\circ,180^\circ[/tex] and [tex]x=45^\circ, 225^\circ[/tex]

Therefore, the correct option is D.


Related Questions

Can someone please help me I really need this

Answers

honestly i don’t really know but maybe a bar graph? you could put the monthly sales in the x axis and the earnings in the y axis. sorry

Sanjay works 37 hours at $10.57 per
hour
and 3 hours overtime at time-and-a-half.
What is his total pay?​

Answers

Answer:

$422.80

Step-by-step explanation:

Answer: $428.09

Step-by-step explanation:

First let's add all the hours Sanjay worked;

37 + 3.5 = 40.5 total hours worked.

Now multiply the amount of hours he worked by $10.57.

40.5 x 10.57 = $428.09 of total pay.

identify the slope of the graph below
show work please

Answers

Answer:

0

Step-by-step explanation:

Slope is 0 in any horizontal line

please please complete the picture ​

Answers

Answer:

mode=most common answer

Step-by-step explanation:

1.12

2.9

3.1.8

4.56

5.5.9

Write an equation (y=mx+b) through the points: (3,-1) and (8,9)

Answers

Answer:

y=2x-7

Step-by-step explanation:

m==2

y=mx+b

9=16-7

y=2x-7

What is the answer step by step

2(3x-4)-(x-7)=-6(x+1)+7x

Answers

Answer:

x =  -5/4

Step-by-step explanation:

please help quick!! i’ll give brainliest!!

Answers

Answer:

its the second one i belive

Step-by-step explanation:

HELP ME PLEASE FOR THE SAKE OF GOD LOL

Answers

Answer:

Cells we are made of Stem cells

Red blood cells

White blood cells

Step-by-step explanation:

The value, v, does not equal 2 1/2

Answers

Answer:

We are going to need the whole question dear <3

Answer:

I need help to

Step-by-step explanation:

Chris works at a local hardware store where she earns a weekly salary of $150 and a 3% commission on all sales this week she sold $1500 worth of products

Answers

Answer:

Commission is $45.00

Weekly salary was $150.00 + $45.00

She earned $195.00 for her paycheck

Step-by-step explanation:

Solve the equation 3x2 + 11z – 4= 0.
Help I need to plug these in and find the two answers for x​

Answers

Step-by-step explanation:

Explanation:

Given:

−3x2+12x+1=0

This is in the form:

ax2+bx+c=0

with a=−3, b=12 and c=1

In order to decide which method to use, we can first examine the discriminant:

Δ=b2−4ac=122−4(−3)(1)=144+12=156

Since Δ>0 we can tell that the quadratic has 2 distinct real solutions, but because it is not a perfect square we can also tell that those solutions are irrational.

So there is no rational factorisation and we can discount the use of an AC method or similar.

We can use the quadratic formula or we can complete the square.

If we choose to use the quadratic formula, then we find:

x=−b±√b2−4ac2a

x=−b±√Δ2a

x=−(12)±√1562(−3)

x=−12±2√39−6

x=2±√393

When completing the square, note that b=12 is already divisible by a=−3 and by 

The table shows the results from a random sample of 5 students at a high
school. Which option best describes the population from which this random
sample was taken?

Answers

Answer:

I think it's D

please help me reeeeeeeeee​

Answers

Answer:

hiiiiiiiii what can i do foe youuui

Which expression has the greatest value when x=3?
1. 2x'3 2. 2x'3 +5 3. (2x)'3 4. (x-1)'3
The '3 means to the power of 3 Thanks♡​

Answers

Answer:

3) [tex](2x)^{3}[/tex]

Step-by-step explanation:

x = 3

1) [tex]2x^{3}[/tex]

2 x [tex]3^{3}[/tex]

= 54

2) [tex]2x^{3} + 5[/tex]

2 x [tex]3^{3}[/tex] + 5

= 59

3) [tex](2x)^{3}[/tex]

(2 x 3[tex])^{3}[/tex]

[tex]6^{3}[/tex]

=216

4) [tex](x - 1)^{3}[/tex]

(3 - 1[tex])^{2}[/tex]

[tex]2^{3}[/tex]

= 8

A restaurant is offering 2 specials: 15 burritos for $12, or 9 burritos for $7.50. Noah needs 90 burritos for his party. Should he buy 6 orders of the 15-burrito special or 10 orders of the 9-burrito special?

Answers

Answer:

15 for $12 special

Step-by-step explanation:

It costs $72 for the 15 for $12 while it costs $75 for the 9 burrito special.

Answer:

9 burritos

Step-by-step explanation:

i think thats right if not sorry

12 i
REASONING Target A has a circumference of 20 feet. Target B has a diameter of 3 feet. Both targets are the same
distance away. Which target is easier to hit?

Answers

Answer:

target a

Step-by-step explanation:

target b has a 6 ft. circumference

Help show work I will mark brainliest

Answers

Answer:

1.46035

2.200

3. 236

Step-by-step explanation:

1. Formula: length x width x height

23x9x5=46035

2. Formula: triangle area (base x height / 2) x length

10 x 20 = 200

3. Formula: πr^2 x height

(5/2)^2 x 3.14 x 12 = 235.5 = 236

Answer and step-by-step explanation:

1. A=734

due to this stuff A=2(wl+hl+hw)=2·(9·23+5·23+5·9)=734

3. A≈227.77

due to this A=2πrh+2πr2=2·π·2.5·12+2·π·2.52≈227.76547

2. the other guy is right

What is the equation of the line that passes through the point (-4,-3)and has a slope of 3/4

Answers

Answer:

y=3/4x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=3/4(x-(-4))

y+3=3/4(x+4)

y=3/4x+12/4-3

y=3/4x+3-3

y=3/4x

I’ll mark YOU as brainlister please help ASAP

Answers

X=10.06438

But it’s not rounded to the nearest foot
We are just starting triangles here, so I went online to a triangle calculator. I’m sorry I can’t explain the calculations.

A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2

Answers

Answer:

64 feet

Step-by-step explanation:

Complete question

A ball is thrown straight up with initial velocity of 64 ft./s. The height of the ball t seconds after it is thrown is given by the formula s(t)=64t-16t^2. Find the maximum height reached by the ball.

At maximum height, the velocity of the ball is zero, i.e ds/dt  =0

ds/dt = 64 - 32t

64 - 32t = 0

32t = 64

t = 64/32

t = 2secs

Substitute t = 2secs into the given equation;

Recall that s(t)=64t-16t^2

s(2) = 64(2) - 16(2)^2

s(2) = 128 - 16(4)

s(2) = 128 - 64

s(2) = 64 ft

Hence the maximum height reached by the ball is 64 feet

write the inequality in words 1/3n-10>22​

Answers

A third n minus 10 greater than twenty two

Answer:

10 is subtracted from a third of a number is greater than 22

Step-by-step explanation:

1/3n-10>22​

you subtract 10 from 1/3n

1/3 - 10 is greater than 22

so:

10 is subtracted from a third of a number is greater than 22

There are TWO pictures here. Please show work

Answers

4x+y=33
X+y=12
Get the y alone, so subtract x by each side to get y= -x+12

Then fill in the equation: 4x + (-x+12)=33, remove the parenthesis and solve to get 3x+12=33. Then subtract 12 from both sides to get 3x=21. Now divide 3x from both sides to get x=7 now, use this x answer for the previous equation, x+y=12. Fill in the x so now it’s (7) + y=12
And then subtract 7 from both sides to get y=5. So for the first slide, x=7 and y=5

For the next slide, you already have y= -x+15. Fill this in for the equation 3x+2y=36. 3x+2(-x+15)=36 distribute to get 3x+-2x+30=36. Subtract the x’s to get an equation of x+30=36. Subtract 30 from both sides to get x=6 and use this for the other equation, y= -x+15 to get y= -6 + 15, which equals y=9. x=6 and y=9
I hope this helped!

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4n3+6n2

Answers

Answer:

2n^2

Step-by-step explanation:

The greatest common factor (GCF) in a polynomial is the factor by which all the terms in the polynomial can be divided. In order to find this factor, you need to completely factor both terms in the polynomial and then note down which ones they have in common:

Step 1: 4n^3 + 6n^2 (Given polynomial)

Step 2: 2*2*n*n*n + 2*3*n*n (Factor the polynomial)

Step 3: 2*2*n*n*n + 2*3*n*n (Identify shared factors)

Step 4: 2*n*n = 2n^2; the GCF is 2n^2 (Multiply the shared factors by each other to get the GCF)

The greatest common factor of the above polynomial is [tex]2n^{2}[/tex].

We have a polynomial as -

[tex]4n^{3} +6n^{2}[/tex]

We have to find out the greatest common factor of this polynomial.

Define Greatest common factor.

The greatest factor is the largest number that is the factor of two or more numbers.

We have the following polynomial -

f(n) = [tex]4n^{3} +6n^{2}[/tex]

We can write the function as -

f(n) = [tex]f_{1}(n) +f_{2}(n)[/tex]

In order to find the greatest common factor, take out all the common terms from the individual functions [tex]f_{1}(n)[/tex] and [tex]f_{2}(n)[/tex].

Therefore, we can write the above function f(n) as -

f(n) =  [tex]2n\times2n^{2} + 2n^{2}\times3 \;\;= \;\;2n^{2} (2n +3)[/tex]

Hence, the greatest common factor of the above polynomial is [tex]2n^{2}[/tex].

To solve more questions on Greatest common factor, visit the link below

https://brainly.com/question/1983426

#SPJ2

4x[tex]x^{2}[/tex]+6x+2=0

Answers

Solving for X:

x= -1/2, -1

You invest $1,000 into a start up company at a 3% annual interest rate for 20 years. How much interest do you earn?

Answers

Answer:

600

Step-by-step explanation:

? = 1000 x .03 x 20

the 1000 is the original amount

the .03 is the percent/interest

the 20 is the time

Together with the interest of 15%, in 20 days an amount of 5445 dollars was received. What is the capital, and how much is the interest?

Answers

Answer:

$5400

$45

Step-by-step explanation:

Interest = principal x interest rate x time

principal = p

interest rate = 15%

time = 20/365 = 0.054795

Interest = 5445 - p

5445 - p = 0.15 x p x  0.054795

5445 - p = 0.008219p

Collect like terms and solve for p

p = $5400

Interest = 5445 - 5400 = $45

Solve for x.
3/4(8x-12) = 2/3(6x+12)

Answers

Okay, so-


First, let’s change the layout of the equation

[12*3(8x-12)]/4=[12*2(6x+12)]

Then, factor

3*3(8x-12)=4*2(6x+12)

After that, multiply

9(8x-12)=8(6x+12)

Now, you’ll have this

72x-108=48x+96

Subtract 48x from each side, and you’ll have-

24x-108=96

Then, add 108 to each side, and you’ll have this

24x=240

One of the last steps now, divide 24 from both sides, and your final product should be down below

x=17/2

11 divided by 30.8 please help

Answers

Answer:

2.8

Step-by-step explanation:

Answer:

0.357142857...

Step-by-step explanation:

11 ÷ 30.8 = 0.357142857...

1 decimal place = 0.4

2 decimal place (also 2 significant figures) = 0.36

3 decimal place (also 3 significant figures) = 0.357

Person 3 bought a brand new car for $22,000. A year later the car had depreciated 23%. How much did the car depreciate?
What is the value of the car now?

Answers

So basically find 77% of the 22000 and then subtract that answer from 22000
Welcome

What is a²+3a-38=0. How do you work this out Please show steps.

Answers

Use Quadratic Equation.......#

Hope it helps........☺

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