1.

If sin 3θ = cos (θ – 2°) where 3θ and (θ – 2°) are acute angles, what is the value of θ?(a) 22° (b) 23° (c) 24° (d) 25°

Answer»

(b) 23°

sin 3θ = cos (θ – 2°) 

⇒ cos (90° – 3θ ) = cos (θ – 2°) 

⇒ 90° – 3θ = θ – 2° 

⇒ 4θ = 92° ⇒ θ = 23°.



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