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sin500-sin700+sin100= |
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Answer» 1) Sin(A+B) = Sin(A)Cos(B)+Cos(A)Sin(B) 2) Sin(A-B) = Sin(A)Cos(B)-Cos(A)Sin(B) Now we write our expression as Sin(60-10) - Sin(60+10) +Sin(10). On applying the above formulas we get: Sin(60)Cos(10) - Cos(60)Sin(10) -{Sin(60)Cos(10) + Cos(60)Sin(10)} + Sin(10) On simplifying we get: -2*Cos(60)Sin(10) + Sin(10) Using Cos(60) = 1/2 in above expression we get: -2*(1/2)*Sin(10) + Sin(10) = 0 |
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