Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin θ + sin2 θ = 1; then cos2 θ + cos4 θ is equal to?

Options:

1

0

2

\(\frac{\sqrt {3 } - 2}{2}\)

Correct Answer:

1

Explanation:

sin θ + sin2 θ = 1

⇒ sin θ = 1 - sin2 θ

⇒ sin θ = cos2 θ

Thus,

cos2 θ + cos4 θ = sin θ + (sin θ)2 = sin θ + sin2 θ = 1