Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $\frac{\sin^{2}30^\circ + \cos^{2} 60^\circ + \sec 45^\circ . \sin 45^\circ}{\sec 60^\circ + cosec 30^\circ}$

Options:

$ \frac{1}{4}$

$-\frac{3}{8}$

$\frac{3}{8}$

$-\frac{1}{4}$

Correct Answer:

$\frac{3}{8}$

Explanation:

\(\frac{sin²30º + cos²60º + sec45º . sin45º}{sec60º + cosec30º}\)

= \(\frac{1/4 + 1/4 + 2/√2 }{ 2 + 2}\)

= \(\frac{1/2 + 1 }{ 4}\)

= \(\frac{3 }{ 8}\)