Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

What is the value of $\frac{1+sinA}{cos^2A}$ ?

Options:

$\frac{1}{1-sinA}$

$\frac{1}{1+sinA}$

$\frac{1}{1+cosA}$

$\frac{1}{1-cosA}$

Correct Answer:

$\frac{1}{1-sinA}$

Explanation:

\(\frac{1 + sinA}{cos²A}\)

{ using , sin²A + cos²A = 1 }

= \(\frac{1 + sinA}{ 1 - sin²A}\)

= \(\frac{1 + sinA}{ (1 - sinA) . ( 1 + sinA)}\)

= \(\frac{1}{ (1 - sinA) }\)