Trigonometry
Trigonometric Ratios, Standard Angles
jee_main_2026_april_5_shift_1
Grade 12
Question:
If sin 30° × cos 60° = a and tan 45° × cot 45° = b, find a + b.
A. 1/4
B. 1/2
C. 3/4
D. 5/4
Step-by-Step Solution
Key Concept: Use standard trigonometric values.
Step 1: sin 30° × cos 60° = (1/2)(1/2) = 1/4. So a = 1/4. Step 2: tan 45° × cot 45° = 1. So b = 1. Step 3: a + b = 1/4 + 1 = 5/4.
Correct Answer: D
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.