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Question
Prove that: sin60°. cos30° - sin60°. sin30° = `(1)/(2)`
Solution
L.H.S. = sin60° . cos30° - cos60° . sin30°
= `sqrt(3)/(2) xx sqrt(3)/(2) - (1)/(2) xx (1)/(2)`
= `(3)/(4) - (1)/(4)`
= `(2)/(4)`
= `(1)/(2)`
= R.H.S.
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