If sin(2a + 45°) = cos(30° - a),

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sin(2a + 45°) = cos(30° - a), where 0° < a < 90°, the value of a is ?

Options:

30°

60°

15°

45°

Correct Answer:

15°

Explanation:

sin°(2a + 45°) = cos(30° - a)

⇒ sin°(2a +45) = sin° (90 - (30 - a))

⇒ 2a + 45 = 90 - 30 + a

⇒ a = 60 -45 ⇒ a = 15°