Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sin ^2 \theta-3 \sin \theta+2=0$, then find the value of $\theta(0° \leq \theta \leq 90°)$.

Options:

45°

60°

90°

Correct Answer:

90°

Explanation:

let sin\(\theta \) = x

$\sin ^2 \theta-3 \sin \theta+2=0$

x² -3x + 2 = 0 

Solving,

(x - 2)(x - 1) = 0 \

x = 1. 2

since sin\(\theta \) \(\leq \) 1

sin\(\theta \) = 1

or \(\theta \) = 90°