Prove that Sin 60° cos 30° – cos 60° sin 30° = sin 30°
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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°
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Answer:
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Step-by-step explanation:
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