Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

The value of [(\(\frac{sin A}{1 - cosA}\)) + (\(\frac{1 - cosA}{sinA}\))] ÷ (\(\frac{cot^2 A}{1+cosecA}\) + 1) is?

Options:

1

2

2\(\sqrt {2 }\)

\(\frac{1}{2}\)

Correct Answer:

2

Explanation:

[(\(\frac{sin A}{1 - cosA}\)) + (\(\frac{1 - cosA}{sinA}\))] ÷ (\(\frac{cot^2 A}{1+cosecA}\) + 1)

put A = 60° since value is same for all A)

[(\(\frac{sin 60°}{1 - cos60°}\)) + (\(\frac{1 - cos60°}{sin60°}\)] ÷ (\(\frac{cot^2 60°}{1+cosec60°}\) + 1)