Sin 600 cos 390+ cos480 sin 150=-1
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LHS=sin600cos390 + cos 480sin150
=sin(6x90+60).cos(4x90+30) + cos(5x90+30)sin(90+60)
=(-sin60).cos30 +-sin30.cos60
= -√3/2 x √3/2 +(-1/2 x 1/2)
= -3/4-1/4
=-1=RHS
Hence, proved.
And a small thing thing don't write sin, cos etc. trigonometric ratios starting with capital letters write all in small
=sin(6x90+60).cos(4x90+30) + cos(5x90+30)sin(90+60)
=(-sin60).cos30 +-sin30.cos60
= -√3/2 x √3/2 +(-1/2 x 1/2)
= -3/4-1/4
=-1=RHS
Hence, proved.
And a small thing thing don't write sin, cos etc. trigonometric ratios starting with capital letters write all in small
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