Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos 27° = x, then the value of tan 63° is :

Options:

$\frac{\sqrt{1+x^2}}{x}$

$\frac{x}{\sqrt{1+x^2}}$

$\frac{\sqrt{1-x^2}}{x}$

$\frac{x}{\sqrt{1-x^2}}$

Correct Answer:

$\frac{x}{\sqrt{1-x^2}}$

Explanation:

cos 27° = x

cos θ =  \(\frac{B }{H}\) =  \(\frac{x }{1}\)

P² + B² = H² 

P² + x² = 1²

P = \(\sqrt { 1 - x² }\)

We know , tan 63° = cot 27°

So , cot 27° =  \(\frac{x }{\sqrt { 1 - x² }\ }\