Can you rewrite a sine as a cosine function and vice versa when describing a general sinusoidal graph? explain.

Step-by-step explanation:

* Lets explain how to solve the problem

- We can write a sine as a cosine by translate the sine function to the

 left by

-

∵ The value of sin(0 + π/2) = 1

∵ cos(0) = 1

∴ sin(0 + π/2) = cos(0)

∴ If sin(x) translated to the left by , then it will be

  cos(x)

∴

- Vice versa

- We can write a cosine as a sine by translate the cosine function to

 the right by

-

∵ The value of cos(0 - π/2) = 0

∵ sin(0) = 0

∴ cos(0 - π/2) = sin(0)

∴ If cos(x) translated to the right by , then it will be

  sin(x)

∴

- Look to the attached graphs for more understand