Answer :

As we know,


cos θ = sin (90˚ – θ)


sin 3θ = cos (θ – 6˚)


sin 3θ = sin (90˚ – (θ – 6˚))


sin 3θ = sin (90˚ – θ + 6˚)


sin 3θ = sin (96˚ – θ)


Since, 3θ is acute angle


So, 3θ = 96˚ – θ


4θ = 96˚


θ = = 24˚


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