sin120∘cos150∘−cos240∘sin330∘ is equal to :
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sin120°×cos150° - cos240°×sin330° is equals to -1
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Sin120= sin(90+30)=cos30= sqrt(3)/2
Cos150= cos(180–30)= - cos30= -sqrt(3)/2
Cos240= cos(180+60)= - cos60= -1/2
Sin330= sin(360–30)= - sin30= - 1/2
((Sqrt(3)/2) * (-sqrt(3)/2))-((-1/2) * (- 1/2))
= (- 3/4)-(1/4)
Therefore the answer is - 1
Cos150= cos(180–30)= - cos30= -sqrt(3)/2
Cos240= cos(180+60)= - cos60= -1/2
Sin330= sin(360–30)= - sin30= - 1/2
((Sqrt(3)/2) * (-sqrt(3)/2))-((-1/2) * (- 1/2))
= (- 3/4)-(1/4)
Therefore the answer is - 1
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