Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec θ = $\frac{65}{63}$ and θ is an acute angle, then the value of 8(cosecθ - cot θ) is :

Options:

1

4

2

8

Correct Answer:

1

Explanation:

sec θ = \(\frac{65}{63}\)

{ we know, sec θ = \(\frac{H}{B}\) ]

By using pythagoras theorem,

P² + B² = H²

P² + 63² = 65²

P = 16

Now,

8(cosecθ - cot θ)

= 8 ( \(\frac{65}{16}\) - \(\frac{63}{16}\) )

= 8 ( \(\frac{2}{16}\) )

= 1