Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $sin x = \frac{3}{5}$, 0 ≤ x ≤ 90°, then the value of $cot x. sec x$ is :

Options:

$\frac{3}{5}$

$\frac{5}{3}$

$\frac{4}{5}$

$\frac{3}{4}$

Correct Answer:

$\frac{5}{3}$

Explanation:

Given :-

sinx = \(\frac{3 }{5}\)

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

P² + B² = H²

3² + B² = 5²

9 + B² = 25

B = 4

Now,

cotx . secx

= \(\frac{4 }{3}\) × \(\frac{5}{4}\) 

= \(\frac{5}{3}\)