Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosec A - cot A = $\frac{1}{4}$, then the value of tan A is:

Options:

$\frac{8}{15}$

$\frac{8}{17}$

$\frac{15}{17}$

$\frac{17}{15}$

Correct Answer:

$\frac{8}{15}$

Explanation:

As , cosecA - cotA = \(\frac{1}{4}\)   ----(1)

then cosec A + cotA = 4      -----(2)

Subtract 1 from 2

2cotA = 4 - \(\frac{1}{4}\) = \(\frac{15}{4}\)

cotA = \(\frac{15}{8}\)

So , tanA = \(\frac{8}{15}\)