Question

Find the value of Cos²x +cos⁴x if sinx +sin²x=1.

Answer 1

Answer:

1

Step-by-step explanation:

given,

sin x + sin²x = 1

sin x = 1 - sin²x

sin x = cos²x (a)

now,

cos²x + (cos²x)²

from a

sin x + ( sin x) ²

sin x + sin²x

from given,

sin x + sin²x = 1

cos²x + cos4x =1