Question

Sin120.cos150-cos240.sin330

Answer 1

Answer:

-1

Step-by-step explanation:

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)

{ since ‘- ‘multiplied with ‘+’ equals ‘-’ ,

And ‘-’ multiplied with ‘-’ gives ‘+’}

=-1

Therefore the answer is - 1

HOPE THIS WILL HELP YOU