Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If the value of cosec A + cot A = m, then the value of cosecA − cot A is:

Options:

$\frac{1}{m}$

$m$

$\sqrt{m}$

$m^2$

Correct Answer:

$\frac{1}{m}$

Explanation:

We are given that :-

cosec A + cot A = m

{ using concept , cosec²A - cot²A = 1

& cosecA - cotA = \(\frac{1}{cosec A + cot A}\)  }

Now,

cosecA - cotA

= \(\frac{1}{cosec A + cot A}\)

= \(\frac{1}{m}\)