Practicing Success
CUET Preparation Today
CUET
General Test
Quantitative Reasoning
Trigonometry
If sin θ + sin2 θ = 1; then cos2 θ + cos4 θ is equal to?
1
0
2
\(\frac{\sqrt {3 } - 2}{2}\)
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