If sec 3A = cosec (A - 72o) then what is

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec 3A = cosec (A - 72^o) then what is the value of A ?

Options:

34.5 degree

30 degree

40.5 degree

25 degree

Correct Answer:

40.5 degree

Explanation:

We are given that ,

sec 3A = cosec (A - 72^o)

{ using concept , Iff A + B = 90º then secA = cosecB }

So, 3A + A - 72º = 90º

4A = 162º

A = 40.5º