Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $tan x = \frac{10}{17}$, then what is the value of sinx ?

Options:

$\frac{17}{\sqrt{389}}$

$\frac{7}{\sqrt{389}}$

$\frac{10}{\sqrt{389}}$

$\frac{9}{\sqrt{389}}$

Correct Answer:

$\frac{10}{\sqrt{389}}$

Explanation:

$tan x = \frac{10}{17}$

           = $\frac{P}{B}$

P = 10, B = 17 

H = $\sqrt{P^2+B^2}$

   = $\sqrt{10^2+17^2}$ = $\sqrt{389}$

$sinx= \frac{P}{H}$

       = $\frac{10}{\sqrt{389}}$