Solve (sin20^circcos70^circ+sin70^circcos20^circ)

$$( \sin 20 ^ { \circ } \cos 70 ^ { \circ } + \sin 70 ^ { \circ } \cos 20 ^ { \circ } )$$

Evaluate

$$0.99999999999999994759772856932628$$

Solution Steps

Evaluate trigonometric functions in the problem

$${(0.3420201433256687 \cdot 0.3420201433256688 + 0.9396926207859083 \cdot 0.9396926207859084)}$$

Multiply 0.3420201433256687 and 0.3420201433256688 to get 0.11697777844051099399732263472656.

$$0.11697777844051099399732263472656+0.9396926207859083\times 0.9396926207859084$$

Multiply 0.9396926207859083 and 0.9396926207859084 to get 0.88302222155948895360040593459972.

$$0.11697777844051099399732263472656+0.88302222155948895360040593459972$$

Add 0.11697777844051099399732263472656 and 0.88302222155948895360040593459972 to get 0.99999999999999994759772856932628.

$$0.99999999999999994759772856932628$$

Factor

$$\frac{41 \cdot 223 \cdot 1034827 \cdot 293589843848100691393 \cdot 3 ^ {2}}{2 ^ {30} \cdot 5 ^ {32}} = 0.9999999999999998$$