1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
liraira [26]
2 years ago
9

If sinx=1/2, find cos4x​

Mathematics
2 answers:
Alex787 [66]2 years ago
6 0

Answer: cos4x=-1/2 if sinx=1/2.

Step-by-step explanation:

sinx=\frac{1}{2}\\ x=\frac{\pi }{6} .\\4x=4*\frac{\pi }{6}=\frac{2\pi }{3}.\\ cos4x=cos\frac{2\pi }{3}=-\frac{1}{2}  .

Licemer1 [7]2 years ago
4 0

Answer: -1/2

Step-by-step explanation:

Use double-angle identities:

cos(2θ)=cos^2θ−sin2^θ

cos(2θ)=1−2sin^2θ

cos(2θ)=2cos^2θ−1

sin(x)=1/2

cos(2x)=1−2sin^2x=1−2(1/4)=1/2

cos(4x)=2cos2^(2x)−1=2(1/4)−1=-1/2

You might be interested in
Y=a|x-h|+k please help
RSB [31]

Answer:

i can't answer this but i can tell you this

The general form of an absolute value function is f(x)=a|x-h|+k. From this form, we can draw graphs.

y = a(x – h)2 + k, where (h, k) is the vertex. ... In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think about it for a minute, and it's because the quantity "x – h" is squared, so its value is always zero or greater; being squared, it can never be negative.

Step-by-step explanation:

it is not the answer but i hope it helps:)

7 0
2 years ago
Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.
adoni [48]

Answer: The required derivative is \dfrac{8x^2+18x+9}{x(2x+3)^2}

Step-by-step explanation:

Since we have given that

y=\ln[x(2x+3)^2]

Differentiating log function w.r.t. x, we get that

\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}

Hence, the required derivative is \dfrac{8x^2+18x+9}{x(2x+3)^2}

3 0
3 years ago
How do i graph -2x+5.
vichka [17]
It is a nice linear equation. Remember y=mx+b
b is the y intercept you'll see
m is the slope rise over run
I don't like giving answers away but I am ready to help!

8 0
3 years ago
Carla's team won 3 of its 5 games. Elena's team won games at the same rate and won 12 games. How many games did Elena's team pla
Maurinko [17]
This is all about proportions. You can make this into fractions:

3/5 = 12/x

A good way to handle this, is to make one of those numbers the same. If you do (3/5) * 4, you would get 12/20 (because 4 * 3 = 12 and 4 * 5 = 20)

So then you have this:

12/20 = 12/x

It's basically a fill in the blank from there. x= 20

Elena's team played 20 games
4 0
4 years ago
Read 2 more answers
Y= x+2 -1 if<br> a)y&gt;0<br> b)y&lt;0<br> c)y=0
kvv77 [185]

Answer:

A

Step-by-step explanation:

I may be wrong,If i am i apoligize fr the inconvenience!!

If not, Your very welcome.

6 0
2 years ago
Other questions:
  • Six less than the product of four and a number xxx.
    15·2 answers
  • As Saturn revolves around the sun, it travels at a rate of approximately 6 miles per second. Convert this rate to miles per minu
    7·1 answer
  • 1. Which of the following is true?
    14·1 answer
  • Suppose that a teacher agrees to pay a student 10​¢for every problem in this chapter that the student solves​ correctly, and fin
    8·1 answer
  • Which of the following reasons can be used to justify statement #4 in the proof?
    7·1 answer
  • Mary drove at a constant speed of 60 miles per hour. How far would she travel if she drove for 4 hours?
    9·1 answer
  • What is 30% off $14.16
    15·2 answers
  • 1) A rectangle has the lengths shown <br> Find the perimeter of the rectangle.
    10·1 answer
  • The line passes through (-5,6), slope=3. Write the equation in point-slope form​
    10·1 answer
  • PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLYEST TO FIRST CORRECT!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!