Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of $\frac{sin30°cos60°+cos45°sin45°}{tan60°cot30°}$ is :

Options:

$\frac{1}{\sqrt{3}}$

$\sqrt{3}$

2

$\frac{1}{4}$

Correct Answer:

$\frac{1}{4}$

Explanation:

$\frac{sin30°cos60°+cos45°sin45°}{tan60°cot30°}$

= $\frac{1/2 × 1/2+1/√2× 1/√2}{√3×√3 }$

= $\frac{3/4}{3 }$

= \(\frac{1  }{4}\)