Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If in a right angled ΔPQR , tanQ = 5/12, then what is the value of cos Q?

Options:

12/5

13/5

12/13

5/13

Correct Answer:

12/13

Explanation:

We are given that :-

tanQ = \(\frac{5}{12}\)

{ we know , tanQ = \(\frac{P}{B}\) }

By using pythagoras theorem,

P² + B² = H²

5² + 12² = H²

H = 13

Now,

cosQ

= \(\frac{B}{H}\) 

= \(\frac{12}{13}\)