Trigonometry
Trigonometric Ratios, Standard Angles
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Grade None
Question:
If sin 30° × tan 45° = a and cos 60° × cot 45° = b, find a + b.
A. 1/2
B. 3/4
C. 1
D. 3/2
Step-by-Step Solution
Key Concept: Use standard trigonometric values.
Step 1: sin 30° × tan 45° = (1/2) × 1 = 1/2. So a = 1/2. Step 2: cos 60° × cot 45° = (1/2) × 1 = 1/2. So b = 1/2. Step 3: a + b = 1.
Correct Answer: C
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