Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°

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Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°

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Answer 1 · 2018-03-08T19:41:55

$2 sin (30^{\circ}) cos (30^{\circ}) = sin (60^{\circ}) = \frac{\sqrt{3}}{2}$ $2sin(30^@)cos(30^@)=sin(60^@)=sqrt(3)/2$

Explanation:

Use the identity

$sin (2 x) = 2 sin (x) cos (x)$ $sin(2x)=2sin(x)cos(x)$

Applying this identity to your example

$2 sin (30^{\circ}) cos (30^{\circ}) = sin (2 \cdot 30^{\circ}) = sin (60^{\circ}) = \frac{\sqrt{3}}{2}$ $2sin(30^@)cos(30^@)=sin(2*30^@)=sin(60^@)=sqrt(3)/2$

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Write each expression as a single angle and evaluate if possible? 2Sin30°Cos30°

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