If sec 2θ = cosec ( θ -

CUET Preparation Today

Start Free Mocks

Home Questions STNQPXV6YR

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec 2θ = cosec ( θ - 36^o), where 2θ is an acute angle, find the value of θ.

Options:

32^o

46^o

20^o

42^o

Correct Answer:

42^o

Explanation:

If secA = cosecB , then A + B = 90°

Given :-

sec 2θ = cosec ( θ - 36^o)

Then , 2θ + θ - 36^o = 90^o

2θ = 126^o

θ = 42^o