Solve sin35^circcos5^circ-sin5^circcos35^circ

$$\sin 35 ^ { \circ } \cos 5 ^ { \circ } - \sin 5 ^ { \circ } \cos 35 ^ { \circ }$$

Evaluate

$$0.499999999999999887749570730459994$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.573576436351046 \cdot 0.9961946980917455 - 0.08715574274765817 \cdot 0.8191520442889918$$

Multiply 0.573576436351046 and 0.9961946980917455 to get 0.571393804843269548895352890793.

$$0.571393804843269548895352890793-0.08715574274765817\times 0.8191520442889918$$

Multiply 0.08715574274765817 and 0.8191520442889918 to get 0.071393804843269661145782160333006.

$$0.571393804843269548895352890793-0.071393804843269661145782160333006$$

Subtract 0.071393804843269661145782160333006 from 0.571393804843269548895352890793 to get 0.499999999999999887749570730459994.

$$0.499999999999999887749570730459994$$

Factor

$$\frac{11 \cdot 97 \cdot 3671 \cdot 1241203 \cdot 6231776611 \cdot 8251568537}{2 ^ {32} \cdot 5 ^ {33}} = 0.49999999999999983$$