Solve 10^4*sin20^circ+1270*cos20^circ

$$10 ^ { 4 } \times \sin 20 ^ { \circ } + 1270 \times \cos 20 ^ { \circ }$$

Evaluate

$$4613.611061654790668$$

Solution Steps

Evaluate trigonometric functions in the problem

$$10 ^ {4} \cdot 0.3420201433256687 + 1270 \cdot 0.9396926207859084$$

Calculate 10 to the power of 4 and get 10000.

$$10000\times 0.3420201433256687+1270\times 0.9396926207859084$$

Multiply 10000 and 0.3420201433256687 to get 3420.201433256687.

$$3420.201433256687+1270\times 0.9396926207859084$$

Multiply 1270 and 0.9396926207859084 to get 1193.409628398103668.

$$3420.201433256687+1193.409628398103668$$

Add 3420.201433256687 and 1193.409628398103668 to get 4613.611061654790668.

$$4613.611061654790668$$

Factor

$$\frac{11 \cdot 449 \cdot 5503 \cdot 42436782551}{2 ^ {13} \cdot 5 ^ {15}} = 4613\frac{152765413697792}{250000000000000} = 4613.611061654791$$