Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tanθ = \(\frac{3}{4}\); then the value of \(\frac{cos^2θ(8sinθ + 5cosθ)}{sin^3θ - 2cos^3θ}\) is?

Options:

\(\frac{176}{111}\)

\(\frac{117}{101}\)

-\(\frac{3}{16}\)

-\(\frac{176}{101}\)

Correct Answer:

-\(\frac{176}{101}\)

Explanation:

tanθ = \(\frac{3}{4}\)

= \(\frac{cos^2θ(8sinθ + 5cosθ)}{sin^3θ - 2cos^3θ}\) 

(divide by cos3θ in numerator and denominator)