Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan θ $=\frac{20}{21},$ then the value of $\frac{sinθ-cosθ}{sinθ+cosθ}$ is :

Options:

$\frac{-1}{41}$

$\frac{27}{21}$

$\frac{29}{35}$

$\frac{-29}{31}$

Correct Answer:

$\frac{-1}{41}$

Explanation:

tan θ = \(\frac{20}{21}\)

{ tan θ = \(\frac{P}{B}\) }

Now,

\(\frac{sinθ - cosθ}{sinθ + cosθ}\)

= \(\frac{P - B}{P + B}\)

= \(\frac{20 - 21}{20 + 21}\)

= \(\frac{-1}{41}\)