Math, asked by unboxingauthentic, 17 days ago

Prove that Sin 60° cos 30° – cos 60° sin 30° = sin 30°​

Answers

Answered by Anonymous
6

Step-by-step explanation:

Sin 60° cos 30° - cos 60° sin 30° = sin 30°

Let 60° as A and 30° as B

so,

SinA cosB - cosA sinB = sinB

Taking Left Hand side,

SinA cosB - cosA sinB

can be written as

= Sin(A - B) [sinA cosB - cosA sinB = sin(A - B)]

Let's now put the value of A and B

so,

= sin ( 60° - 30° )

= sin ( 30° )

so,

Left hand side (L.H.S) = Right hand side (R.H.S)

Hence proved,

Sin 60° cos 30° – cos 60° sin 30° = sin 30°

Answered by pokemonwatchouts123
1

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Step-by-step explanation:

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