Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If 0° < θ < 90°

find \(\frac{{sin}^{2}52+2+sin^238}{4sin^247+5+4cos^243}\)

Options:

\(\frac{2}{3}\)

\(\frac{1}{3}\)

-3

-\(\frac{1}{3}\)

Correct Answer:

\(\frac{1}{3}\)

Explanation:

If sum of θ = 90°

Put then equal

Put θ = 45°

⇒ \(\frac{\frac{1}{2}+2+\frac{1}{2}}{\frac{4}{2}+5+\frac{4}{2}}\)=\(\frac{3}{9}\) = \(\frac{1}{3}\)