Question

if sin theta + sin squared theta is equal to 1 show that cos square theta + Cos raise to 4 theta is equal to 1​

Answer 1

Step-by-step explanation:

I think you may understand

Answer 2

Question:

$\sf{Prove\:that\:cos^2\theta+cos^4\theta=1}$

Identities Used:

$\sf{1-sin^2\theta=cos^2\theta}$

Solution:

$\sf{Given\colon\:sin\theta+sin^2\theta=1}$

$\sf{sin\theta=1-sin^2\theta}$

$\sf{sin\theta=cos^2\theta}$

$\sf{Now,\:cos^2\theta+cos^4\theta}$

$\sf{=sin\theta+sin^2\theta}$

$\sf{=1\:\:\:\:\:\:\left(Given\right)}$

$\sf{Hence\:Proved}$