Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosec θ + cot θ = 2, then what is the value of cosec θ?

Options:

$\frac{5}{4}$

$\sqrt{2}$

$\sqrt{5}$

$\frac{3}{2}$

Correct Answer:

$\frac{5}{4}$

Explanation:

As , cosecθ + cotθ = 2   ----(1)

then cosec θ - cotθ = \(\frac{1}{2}\)     -----(2)

Adding 1 & 2

2cosecθ = 2 + \(\frac{1}{2}\) = \(\frac{5}{2}\)

cosecθ = \(\frac{5}{4}\)

So , cosec θ  = \(\frac{5}{4}\)