Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of $\sin ^2 60^{\circ}+\cos ^2 30^{\circ}-\sin ^2 45^{\circ}-3 \sin ^2 90^{\circ}$.

Options:

$\frac{1}{3}$

$-1 \frac{3}{4}$

$-2 \frac{1}{2}$

-2

Correct Answer:

-2

Explanation:

sin²60º + cos²30º - sin²45º - 3sin²90º

= \(\frac{3}{4}\) + \(\frac{3}{4}\) - \(\frac{1}{2}\) - 3

= 1 - 3

= -2