CUET Preparation Today
CUET
General Aptitude Test
Quantitative Reasoning
Trigonometry
If $cos^2 θ+cos^4θ=1,$ then the value of $sinθ +sin^2θ$ is :
0
$\frac{1}{2}$
2
1
cos²θ + cos4θ = 1
cos4θ = 1 - cos²θ
{ using sin²θ + cos²θ = 1 }
cos4θ = sin²θ
and cos²θ = sinθ
Now,
sinθ + sin²θ
= cos²θ + cos4θ
= 1 { given :- cos²θ + cos4θ = 1 }