If $\sec 3x = cosec (3x - 45^\circ)$, wh

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If $\sec 3x = cosec (3x - 45^\circ)$, where 3x is an acute angle, then x is equal to:

Options:

45°

22.5°

35°

27.5°

Correct Answer:

22.5°

Explanation:

We are given that :-

sec 3x = cosec ( 3x - 45º )

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

So, 3x + 3x - 45º = 90º

6x = 135º

x = 22.5º