Question

find the period of cos⁴x ?​

Answer 1

Answer:

pi

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

we know, cos²x = (1 + cos2x)/2

so, cos⁴x = (cos²x)²

= {(1 + cos2x)/2}²

= (1 + cos2x)²/4

= (1 + cos²2x + 2cos2x)/4

= 1/4 + cos²2x/4 + cos2x/2

= 1/4 + (1 + cos4x)/8 + cos2x/2

so, period of cos⁴x = period of 1/4 + (1 + cos4x)/8 + cos2x/2