Question

Prove that :
sin 55°. cos 48°=cos35°. sin 42°

Answer 1

Step-by-step explanation:

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Answer 2

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 .