Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If b cos θ = a, then cosecθ + cotθ = ______.

Options:

$\sqrt{\frac{1}{b+a}}$

$\sqrt{\frac{b-a}{b+a}}$

$\sqrt{\frac{b+a}{b-a}}$

$\sqrt{\frac{1}{b-a}}$

Correct Answer:

$\sqrt{\frac{b+a}{b-a}}$

Explanation:

b cos θ = a

cos θ = \(\frac{a}{b}\) 

B = a & H = b

P2 + B2 = H2

P2 + a2 = b2

P2 =  b2 -  a2

P = \(\sqrt { b2 -  a2 }\)

cosecθ + cotθ = \(\frac{b}{\sqrt { b2 -  a2 }}\)  + \(\frac{a}{\sqrt { b2 -  a2 }}\)

= $\sqrt{\frac{b+a}{b-a}}$