Solve sin12^circcos18^circ+cos12^circsin18^circ

$$\sin 12 ^ { \circ } \cos 18 ^ { \circ } + \cos 12 ^ { \circ } \sin 18 ^ { \circ }$$

Evaluate

$$0.499999999999999954836387821824265$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.20791169081775931 \cdot 0.9510565162951535 + 0.9781476007338057 \cdot 0.3090169943749474$$

Multiply 0.20791169081775931 and 0.9510565162951535 to get 0.197735768366173223530943482504085.

$$0.197735768366173223530943482504085+0.9781476007338057\times 0.3090169943749474$$

Multiply 0.9781476007338057 and 0.3090169943749474 to get 0.30226423163382673130544433932018.

$$0.197735768366173223530943482504085+0.30226423163382673130544433932018$$

Add 0.197735768366173223530943482504085 and 0.30226423163382673130544433932018 to get 0.499999999999999954836387821824265.

$$0.499999999999999954836387821824265$$

Factor

$$\frac{61 \cdot 487 \cdot 81957587603 \cdot 41072585011709093}{2 ^ {33} \cdot 5 ^ {32}} = 0.5$$