Solve cos82^circsin52^circ-sin82^circcos52^circ

$$\cos 82 ^ { \circ } \sin 52 ^ { \circ } - \sin 82 ^ { \circ } \cos 52 ^ { \circ }$$

Evaluate

$$-0.49999999999999980317769034159309$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.1391731009600657 \cdot 0.788010753606722 - 0.9902680687415703 \cdot 0.6156614753256583$$

Multiply 0.1391731009600657 and 0.788010753606722 to get 0.1096699001693257773471650816354.

$$0.1096699001693257773471650816354-0.9902680687415703\times 0.6156614753256583$$

Multiply 0.9902680687415703 and 0.6156614753256583 to get 0.60966990016932558052485542322849.

$$0.1096699001693257773471650816354-0.60966990016932558052485542322849$$

Subtract 0.60966990016932558052485542322849 from 0.1096699001693257773471650816354 to get -0.49999999999999980317769034159309.

$$-0.49999999999999980317769034159309$$