If sec(30° - 4x) = cosec(7x - 60°

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sec(30° - 4x) = cosec(7x - 60°) then value of x?

Options:

40°

60°

30°

45°

Correct Answer:

40°

Explanation:

sec(30° - 4x) = cosec(7x - 60°)

sec = cosec is possible only when sum of the angles of sec and cosec is equal to 90^o

30° - 4x + 7x - 60° = 90°

3x = 120°

x = 40°