If sin θ = cos(50° + θ), then θ is equal to:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 20°
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Concept |
Understanding |
Application |
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cos(90 - θ) = sin θ |
Given sin θ = cos(50° + θ) |
sin θ = sin [90° - (50° + θ)] ⇒ θ = 90° - 50° - θ ⇒ 2θ = 40° ⇒ θ = 20° |