Question

if sin^2theta + sintheta = 1, find the value of cos^2theta + cos^4theta

Answer 1

$sin^2A=1-sinA$

$1-cos^2A=1-sinA$

$-cos^2A=-sinA$

$cos^2A=sinA$

According to question

$cos^2A+cos^4A$

$=cos^2A+(cos^2A)^2$

$=cos^2A+(sinA)^2$

$=cos^2A+sin^2A$

$=1$

Hope it helps u❤️❤️

Answer 2

Answer:-

(Theta is taken as A).

Given:

sin² A + sin A = 1

→ sin A = 1 - sin² A

We know that,

sin² A + cos² A = 1

→ cos² A = 1 - sin² A

Hence,

→ sin A = cos² A

We have to find:

→ cos² A + cos⁴ A

→ cos² A + (Cos² A)²

Putting of cos² A = sin A we get,

→ cos² A + sin² A

Putting the value of cos² A + sin² A = 1 we get,

→ 1

Hence, the value of cos² A + cos⁴ A is 1.

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