Question

if sin theta + sin square theta equals to 1 then cos square theta + cos square theta +2 cos squared theta​

Answer 1

Answer:

$sinx \: + {sin}^{2} x = 1 \\ sinx \: = 1 - {sin}^{2} x \\ sinx \: = {cos}^{2} x \\ squaring \: both \: side \\ {sin}^{2} x \: = {cos}^{4} x \\ 1 - {cos}^{2} x = {cos}^{4} x \\ {cos}^{2} x \: + {cos}^{4} x = 1$

Answer 2

Answer:

ANSWER

Given, sinθ+sin

2 θ=1

⇒sinθ=1−sin

2

θ=cos 2 θ

Therefore, cos

2

θ+cos

4

θ=cos

2

θ(1+cos

2

θ)

=sinθ(1+sinθ)

=sinθ+sin

2

θ

=1