sin120*cos150-cos240*sin330
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Answer:
Sin120= sin(90+30)=cos30 = √3/2
cos150=cos(180–30)=-cos30= -√3/2, since cosx is negative in second and third quadrants
cos240 = cos(180+60)= -cos60 = -0.5, the above reason
sin330=sin(360–30)= -sin30 = -0.5, as sinx is negative in the third and fourth quadrants
So the value of the given question is
(√3/2)*(-√3/2)*(-0.5)*(-0.5)
=(-3/4)*(1/4)
=-3/16
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