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If sin (60° – θ) = cos (&psy; – 30°), then the value of tan (&psy; – θ) is (assume that θ and &psy; are both positive acute angles with θ < 60° and &psy; > 30°).
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1 √3
- 0
- √3
- 1
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Correct Option: C
sin(60° - θ ) = cos (ψ - 30°)
= sin (90° - &pasi; + 30°)
= sin (120° - ψ)
⇒ 60° - θ = 120° - ψ
⇒ ψ - θ = 60°
∴ tan (ψ - θ) = tan 60° = √3
