Solve sin(32^circ)*cos(77^circ)-sin(77^circ)*cos(32^circ)

$$\sin ( 32 ^ { \circ } ) \times \cos ( 77 ^ { \circ } ) - \sin ( 77 ^ { \circ } ) \times \cos ( 32 ^ { \circ } )$$

Evaluate

$$-0.707106781186547582571299937113092$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.5299192642332049 \cdot 0.22495105434386492 - 0.9743700647852352 \cdot 0.848048096156426$$

Multiply 0.5299192642332049 and 0.22495105434386492 to get 0.119205897206384589454974464282108.

$$0.119205897206384589454974464282108-0.9743700647852352\times 0.848048096156426$$

Multiply 0.9743700647852352 and 0.848048096156426 to get 0.8263126783929321720262744013952.

$$0.119205897206384589454974464282108-0.8263126783929321720262744013952$$

Subtract 0.8263126783929321720262744013952 from 0.119205897206384589454974464282108 to get -0.707106781186547582571299937113092.

$$-0.707106781186547582571299937113092$$

Factor

$$-0.707106781186547582571299937113092$$