Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 9 secθ = 41 . Then find the value of 5cotθ .

Options:

5

\(\frac{9}{8}\)

\(\frac{1}{8}\)

\(\frac{9}{40}\)

Correct Answer:

\(\frac{9}{8}\)

Explanation:

9 secθ = 41

secθ = \(\frac{41}{9}\)  (where 41 → H and 9 → B)

P = \(\sqrt {(41)^2 - (9)^2}\)

P = \(\sqrt {1600}\) = 40

5cotθ = \(\frac{B}{P}\) =  5 × \(\frac{9}{40}\) =  \(\frac{9}{8}\)