Solve sin(77)cos(17)-sin(17)cos(13)

$$\sin ( 77 ) \cos ( 17 ) - \sin ( 17 ) \cos ( 13 )$$

Evaluate

$$0.646916490150068657769498462787776$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9743700647852352 \cdot 0.9563047559630354 - 0.29237170472273677 \cdot 0.9743700647852352$$

Multiply 0.9743700647852352 and 0.9563047559630354 to get 0.93179472702213134064185089492608.

$$0.93179472702213134064185089492608-0.29237170472273677\times 0.9743700647852352$$

Multiply 0.29237170472273677 and 0.9743700647852352 to get 0.284878236872062682872352432138304.

$$0.93179472702213134064185089492608-0.284878236872062682872352432138304$$

Subtract 0.284878236872062682872352432138304 from 0.93179472702213134064185089492608 to get 0.646916490150068657769498462787776.

$$0.646916490150068657769498462787776$$

Factor

$$\frac{17 \cdot 101 \cdot 27691 \cdot 57349 \cdot 695081 \cdot 7194353 \cdot 3 ^ {2} \cdot 7 ^ {2} \cdot 41 ^ {2}}{2 ^ {27} \cdot 5 ^ {33}} = 0.6469164901500687$$