Simplify cos(theta + pi/6)-sin(theta + pi/3)
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Expand the equation by formula of cos(a+b)=cosa.cosb-sina.sinb
and sin(a+b)=sina.cosb-cosa.sinb
Put the value of sin30, cos60,sin60 and cos30:
we get -sin(theta)
and sin(a+b)=sina.cosb-cosa.sinb
Put the value of sin30, cos60,sin60 and cos30:
we get -sin(theta)
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