Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin B = $\frac{9}{41}$, then what is the value of cot B, where 0° < B < 90° ?

Options:

$\frac{41}{9}$

$\frac{40}{9}$

$\frac{9}{41}$

$\frac{9}{40}$

Correct Answer:

$\frac{40}{9}$

Explanation:

sinB = \(\frac{9}{41}\)

{ sinB = \(\frac{P}{H}\) }

P² + B² = H²

9² + B² = 41²

B = 40

Now,

cotB

= \(\frac{B}{P}\) 

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