Question

prove that sin( alpha + 30°) = cos alpha + sin(alpha - 30°)

Answer 1

Hi...☺

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 ]

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★ Identity used :

sin(A + B) = sinAcosB + cosAsinB

sin(A - B) = sinAcosB - cosAsinB

Answer 2

hope this helps and please mark my answer as brainliest

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