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

1 Answer
Øko
Mar 8, 2018

2sin(30^@)cos(30^@)=sin(60^@)=sqrt(3)/22sin(30∘)cos(30∘)=sin(60∘)=√32

Explanation:

Use the identity

  • sin(2x)=2sin(x)cos(x)sin(2x)=2sin(x)cos(x)

Applying this identity to your example

2sin(30^@)cos(30^@)=sin(2*30^@)=sin(60^@)=sqrt(3)/22sin(30∘)cos(30∘)=sin(2⋅30∘)=sin(60∘)=√32

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