Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If A = 10º, what is the value of : $\frac{12sin3A+5cos(5A-5^o)}{9sin\frac{9A}{2}-4cos(5A+10^o)}$?

Options:

$\frac{6\sqrt{2}+5}{(9-2\sqrt{2})}$

$\frac{6\sqrt{2}-5}{(9-2\sqrt{2})}$

$\frac{(9-2\sqrt{2})}{6\sqrt{2}+5}$

$\frac{6\sqrt{2}+_5}{(9+2\sqrt{2})}$

Correct Answer:

$\frac{6\sqrt{2}+5}{(9-2\sqrt{2})}$

Explanation:

$\frac{12sin3A+5cos(5A-5^o)}{9sin\frac{9A}{2}-4cos(5A+10^o)}$

= \(\frac{12 sin30º 5cos(50º - 5º)}{9sin45º - 4 cos 60º }\)

= \(\frac{12 × 1/2 + 5/√2}{9× 1/√2 - 4 × 1/2 }\)

= \(\frac{6√2 + 5}{9- 2√2 }\)