Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

In a right triangle for an acute angle x, find sinx. It is given that tanx = 5.

Options:

$\frac{1}{3}$

$\frac{5}{\sqrt{(26)}}$

$\frac{2}{5}$

$\frac{5}{\sqrt{(28)}}$

Correct Answer:

$\frac{5}{\sqrt{(26)}}$

Explanation:

We are given that :-

tan x = \(\frac{5}{1}\)

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

By using pythagoras theorem,

P² + B² = H²

5² + 1² = H²

H = \(\sqrt {26 }\)

Now,

sin x

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

= \(\frac{5}{√26}\)