Trigonometry
Trigonometric Ratios, Standard Angles
jee_main_2026_april_4_shift_2
Grade 12
Question:
If sin 60° × cos 30° = a and sin 30° × cos 60° = b, find a - b.
Step-by-Step Solution
Key Concept: Use standard trigonometric values.
Step 1: sin 60° = √3/2, cos 30° = √3/2 => a = 3/4. Step 2: sin 30° = 1/2, cos 60° = 1/2 => b = 1/4. Step 3: a - b = 3/4 - 1/4 = 1/2.
Correct Answer: B
Confused by the solution? Ask the AI to explain a specific step, tell you where you went wrong, or break down the key trap in this question.