Q. 195.0( 2 Votes )

Prove that :

sin 54o+cos67o= sin23o+cos36o

Answer :

Taking LHS = sin 54o+cos67o

We know that

cos θ = sin (90° - θ)

Here, θ = 67°

sin 54°+ sin (90° - 67°)

sin 54°+ sin 23°

We also know that

Sin θ = cos (90° - θ)

Here, θ = 54°

cos (90° - 54°)+ sin 23°

cos 36°+ sin 23° = RHS

Hence Proved

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