Question

If sin teta + sin2 teta = 1 prove that cos2 teaa + cos4 teta = 1​

Answer 1

Answer:

Given, sinθ+sin2θ=1

⇒sinθ=1−sin2θ=cos2θ

Therefore, cos2θ+cos4θ=cos2θ(1+cos2θ)

=sinθ(1+sinθ)

=sinθ+sin2θ

=1

Answer 2

Question:

$if \: sinθ + { \sin}^{2} θ = 1</p><p> \: then \: prove \: that \: {cos}^{2}θ + {cos}^{4} θ = 1$

Solution:

see figure in attachment.