Math, asked by rajeshtalreja21, 7 months ago

2)sin60°cos30° + cos60°sin30​

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Answered by Anonymous
2

Hope ot helps......

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Answered by Anonymous
1

\sf We \:know\: that,  \\\\\sf sin60°=\frac{\sqrt{3}}{2} \\\\\sf</p><p>Cos60°=\frac{1}{2}  \\\\</p><p> \\\\\sf </p><p>Now, \\\\\sf</p><p>sin60°cos30° + cos60°sin30 \\\\\sf</p><p>=sin60°cos(90°-60°)+cos60°sin(90°-60°) \\\\\sf</p><p>=sin60°sin60°+cos60°cos60° \\\\\sf</p><p>=\frac{\sqrt{3}}{2}\: x\: \frac{\sqrt{3}}{2} +\frac{1}{2}\:x\: \frac{1}{2}  \\\\\sf</p><p>=\frac{3}{4} +\frac{1}{4}  \\\\\sf </p><p>=\frac{4}{4}  \\\\\sf</p><p>=\frac{ \cancel{4}}{\cancel{4}} =1</p><p>

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