Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of \(\frac{(2sin A) (1 + sin A)}{1 + sin A + cos A}\) ?

Options:

1 + sin A + cos A

1 + sin A - cos A

2 sin A cos A

sin A cos A

Correct Answer:

1 + sin A - cos A

Explanation:

Put sin A = \(\frac{3}{5}\), cos A = \(\frac{4}{5}\)

\(\frac{(2sin A) (1 + sin A)}{1 + sin A + cos A}\) = \(\frac{(2 × \frac{3}{5}) (1 + \frac{3}{5})}{1 + \frac{3}{5} + \frac{4}{5}}\)

= \(\frac{\frac{6}{5} × \frac{8}{5}}{\frac{12}{5}}\) = \(\frac{4}{5}\)

which is true in option b = 1 + sin A - cos A