Question

prove that sin alpha + 30° equal to sin alpha + sin alpha minus 30 degree​

Answer 1

Answer

Here is your answer...

To prove :

sin(α + 30°) = cosα + sin(α - 30°)

Proof :

RHS

= cosα + sin(α - 30°)

= cosα + sinα cos30° - cosα sin30°

= cosα + sinα cos30° - (cosα)/2

= sinα cos30° + (cosα)/2

= sinα cos30° + (cosα) × 1/2

= sinα cos30° + cosα sin30°

= sin(α + 30°) = LHS [ Proved ]

Identity used :

sin(A + B) = sinAcosB + cosAsinB

sin(A - B) = sinAcosB - cosAsinB

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Answer 2

Hope it's Helpful for you..........