For any acute angle θ, sin θ + sin2 θ = 1 then the value of cos2 θ + cos4 θ = ________.
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 1.
Given that
⇒ sin θ + sin2 θ = 1
⇒ sin θ = 1 - sin2 θ = cos2 θ
the value of cos2 θ + cos4 θ
⇒ sin θ + sin2 θ = 1