Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

what is the value of $\frac{4}{3}(sin^235^o +sin^255^o)?$

Options:

8/9

4/3

3/4

2/3

Correct Answer:

4/3

Explanation:

\(\frac{4}{3}\) × ( sin²35º + sin²55º )

{ we know, If A + B = 90º then , sinA = cosB }

= \(\frac{4}{3}\) × ( sin²35º + cos²35º )

{ using concept , sin²A + cos²A = 1 }

= \(\frac{4}{3}\) × ( 1 )

= \(\frac{4}{3}\)