Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

sin2θ = 2sinθ - 1, (0° < θ < 90°)

find the value of \(\frac{1+cosecθ}{1-cosθ}\)

Options:

1

2

3

4

Correct Answer:

2

Explanation:

In case of sin and cos try to put θ = 90° or 0°

Put θ = 90°

⇒ sin2θ = 2sinθ - 1

1 = 2 - 1

1 = 1 satisfied

Put θ = 90°,

⇒\(\frac{1+cosecθ}{1-cosθ}\) = \(\frac{1+1}{1-0}\)=2