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Question 139
If sin (60° - θ) = cos (Ψ - 30°), then the value of tan (Ψ - θ) is (assume that θ and Ψ are both positive acute angles with θ < 60° and Ψ > 30°).
Solution
We know that between 0 and 90 degrees, sin and cos values are equal only for 45 degrees.
θ = 15 degrees and Ψ = 75 degrees.
Ψ - θ = 60 degrees.
tan 60 = √3
Option C is the right answer.
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