Question
Evaluate the following:
Verify the following:
$2\sin45^\circ\cos45^\circ=\sin90^\circ$
Verify the following:
$2\sin45^\circ\cos45^\circ=\sin90^\circ$
✓
Answer
$2\sin45^\circ\cos45^\circ$
$=2\times\frac{1}{\sqrt{2}}\times\frac{1}{\sqrt{2}}=1$
Also, $\sin90^\circ=1$
$\therefore\ 2\sin45^\circ\cos45^\circ=\sin90^\circ$
$=2\times\frac{1}{\sqrt{2}}\times\frac{1}{\sqrt{2}}=1$
Also, $\sin90^\circ=1$
$\therefore\ 2\sin45^\circ\cos45^\circ=\sin90^\circ$
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