Solve cos(73^circ)sin(107^circ)+sin(73^circ)sin(197^circ)

$$\cos ( 73 ^ { \circ } ) \sin ( 107 ^ { \circ } ) + \sin ( 73 ^ { \circ } ) \sin ( 197 ^ { \circ } )$$

Evaluate

$$0.000000000000000383069930178596775$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.29237170472273677 \cdot 0.9563047559630355 + 0.9563047559630354 \cdot -0.2923717047227364$$

Multiply 0.29237170472273677 and 0.9563047559630355 to get 0.279596451735373460607854516665335.

$$0.279596451735373460607854516665335+0.9563047559630354\left(-0.2923717047227364\right)$$

Multiply 0.9563047559630354 and -0.2923717047227364 to get -0.27959645173537307753792433806856.

$$0.279596451735373460607854516665335-0.27959645173537307753792433806856$$

Subtract 0.27959645173537307753792433806856 from 0.279596451735373460607854516665335 to get 0.000000000000000383069930178596775.

$$0.000000000000000383069930178596775$$

Factor

$$\frac{3 \cdot 19 \cdot 311 \cdot 8627 \cdot 9151 \cdot 10949}{2 ^ {33} \cdot 5 ^ {31}} = 3.8306993017859683 \times 10^{-16}$$