Solve 80^circcos50^circ+sin80^circsin50

$$80 ^ { \circ } \cos 50 ^ { \circ } + \sin 80 ^ { \circ } \sin 50$$

Evaluate

$$52.177415281658640906398030483424$$

Solution Steps

Evaluate trigonometric functions in the problem

$$80 \cdot 0.6427876096865394 + 0.984807753012208 \cdot 0.766044443118978$$

Multiply 80 and 0.6427876096865394 to get 51.423008774923152.

$$51.423008774923152+0.984807753012208\times 0.766044443118978$$

Multiply 0.984807753012208 and 0.766044443118978 to get 0.754406506735488906398030483424.

$$51.423008774923152+0.754406506735488906398030483424$$

Add 51.423008774923152 and 0.754406506735488906398030483424 to get 52.177415281658640906398030483424.

$$52.177415281658640906398030483424$$

Factor

$$\frac{11 \cdot 239 \cdot 516277 \cdot 1632677203 \cdot 81755387477 \cdot 3 ^ {2}}{2 ^ {25} \cdot 5 ^ {30}} = 52\frac{5.544227551832483 \times 10^{27}}{3.125 \times 10^{28}} = 52.17741528165864$$