Question

If cos theta + cos² theta=1
Prove sin²theta+sin⁴theta =1​

Answer 1

Answer:

Step-by-step explanation:

cosθ+cos²θ=1------(1)

to prove  :sin²θ+sin⁴θ=1-------(2)

=>sin²θ+ cos²θ=1------(3)

from 1 and 3

cosθ=sin²θ

(cosθ)²=(sin²θ)²

=cos²θ=sin⁴θ

therefore

sin²θ+sin⁴θ=1