Solve sin113^circcos323^circ+cos247^circcos307

$$\sin 113 ^ { \circ } \cos 323 ^ { \circ } + \cos 247 ^ { \circ } \cos 307$$

Evaluate

$$0.5000000000000001367802379195341$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.9205048534524404 \cdot 0.7986355100472928 + -0.3907311284892738 \cdot 0.6018150231520479$$

Multiply 0.9205048534524404 and 0.7986355100472928 to get 0.73514786313799825153195957334912.

$$0.73514786313799825153195957334912-0.3907311284892738\times 0.6018150231520479$$

Multiply -0.3907311284892738 and 0.6018150231520479 to get -0.23514786313799811475172165381502.

$$0.73514786313799825153195957334912-0.23514786313799811475172165381502$$

Subtract 0.23514786313799811475172165381502 from 0.73514786313799825153195957334912 to get 0.5000000000000001367802379195341.

$$0.5000000000000001367802379195341$$