Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of $\theta $ if $sin 2\theta =cos45°sin45°+sin30°$

Options:

$60°$

$45°$

$90°$

$30°$

Correct Answer:

$45°$

Explanation:

$\theta $ if $sin 2\theta =cos45°sin45°+sin30°$

= $\theta $ if $sin 2\theta$ = \(\frac{1}{\sqrt {2}}\) × \(\frac{1}{\sqrt {2}}\) + \(\frac{1}{2}\)

$sin 2\theta$ = 1

$sin 2\theta$= 90o

Θ = 45o