Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosecθ + cotθ = P

find the value of \(\frac{P^2-1}{P^2+1}\)

Options:

sinθ

cosθ

tanθ

cotθ

Correct Answer:

cosθ

Explanation:

Let us assume a triangle.

Put in → cosecθ + cotθ = P

\(\frac{Hyp.}{Perp}\)+\(\frac{Base}{Perp.}\)=P

\(\frac{5}{3}\)+\(\frac{4}{3}\)=P

P = 3

Now, \(\frac{P^2-1}{P^2+1}\)=\(\frac{9-1}{9+1}\)=\(\frac{8}{10}\) =\(\frac{4}{5}\) =\(\frac{B}{H}\)= cosθ