Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $ \frac{tanA - sinA}{tanA +sinA}$?

Options:

1

 $\frac{secA + 1}{secA-1}$

 $\frac{secA - 1}{secA+ 1}$

sec A

Correct Answer:

 $\frac{secA - 1}{secA+ 1}$

Explanation:

$ \frac{tanA - sinA}{tanA +sinA}$

Taken A = 45°

= $ \frac{1 - \frac{1}{\sqrt{2}}}{1 +\frac{1}{\sqrt{2}}}$

= 1 - $(\frac{1}{\sqrt{2}})^2$      (using (a+b)(a-b) =a²-b²)

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

= $\frac{1}{2}$

This is satisfied by option#3 $\frac{secA - 1}{secA+ 1}$