Question

Find the period of cos power 4x

Answer 1

Step-by-step explanation:

For your specific question, y=cos4x , the amplitude would be 1 and the period would be 2π4 , or π2 . NOTE: I wanted to mention to be careful when finding the period of tangent, as the normal period of tangent is π . Therefore, to find the period, you would do πB instead.

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Answer 2

Answer:

1) Basically cos(x) cycle completes in 360° or 2 which is the period of cosx.

2) Cos(2x) cycle completes in 180°

3) Cos(3x) cycle completes in 120°

4) So if you see, there's basically a pattern, i.e., you divide 360 by the coefficient of x. Hence incase of cos (4x) it'll be 360/4=90 hence the cycle will complete in 90° or 1/2.