Question

Convert the following sums or differences into products sin 61 degrees - cos 39 degrees?

Answer 1

sin 61° − cos 39°= sin 61° −cos(90° − 51°) =sin 61° − sin 51° [as, cos(90° − θ) = sin θ]=2 cos(61° + 51°2) sin(61° − 51°2) [as, sin C − sin D = 2 cos(C+D2) . sin(C−D2)]=2 cos(112°2) sin (10°2)=2 cos 56° . sin 5°




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