Solve cos80^circ+sin80^circcos10^circ

$$\cos 80 ^ { \circ } + \sin 80 ^ { \circ } \cos 10 ^ { \circ }$$

Evaluate

$$1.143494488059884485097397035264$$

Solution Steps

Evaluate trigonometric functions in the problem

$$0.17364817766693041 + 0.984807753012208 \cdot 0.984807753012208$$

Multiply 0.984807753012208 and 0.984807753012208 to get 0.969846310392954075097397035264.

$$0.17364817766693041+0.969846310392954075097397035264$$

Add 0.17364817766693041 and 0.969846310392954075097397035264 to get 1.143494488059884485097397035264.

$$1.143494488059884485097397035264$$

Factor

$$\frac{67 \cdot 179 \cdot 372448540313843389469833}{2 ^ {22} \cdot 5 ^ {30}} = 1\frac{5.605253439839235 \times 10^{26}}{3.90625 \times 10^{27}} = 1.1434944880598845$$