Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin C =$\frac{9}{10}$, then what is the value of cos2 C ?

Options:

$\frac{19}{100}$

$\frac{81}{\sqrt{19}}$

$\frac{19}{10}$

$\frac{\sqrt{19}}{100}$

Correct Answer:

$\frac{19}{100}$

Explanation:

We are given that ,

sin C = \(\frac{9}{10}\)

Now,

cos² C

{ using , sin²x + cos²x = 1 }

= ( 1 - sin²C )

= 1 - \(\frac{81}{100}\)

= \(\frac{19}{100}\)