Would be sin(42-17)=sin25
To evaluate the expression sin42cos17-cos42sin17, use the trigonometric identities for the sine and cosine of the difference of two angles: sin(a - b) = sin(a)cos(b) - cos(a)sin(b) and cos(a - b) = cos(a)cos(b) + sin(a)sin(b). Substitute the given values and simplify the expression to find the solution. ;
By applying the sine difference identity, the expression sin ( 4 2 ∘ ) cos ( 1 7 ∘ ) − cos ( 4 2 ∘ ) sin ( 1 7 ∘ ) simplifies to sin ( 2 5 ∘ ) .
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