Q. 175.0( 2 Votes )

Prove that :

sin 55o. cos 48o=cos35o. sin 42o

Answer :

Taking LHS = sin 55 ° cos 48°

We know that


cos θ = sin (90° - θ)


Here, θ = 48°


sin 55° sin (90° - 48°)


sin 55° sin 42°


We also know that


Sin θ = cos (90° - θ)


Here, θ = 55°


cos (90° - 55°) sin 42°


cos 35° sin 42° = RHS


Hence Proved


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