Solve 5cos5-2sin5

$$5 \cos 5 - 2 \sin 5$$

Evaluate

$$4.80666200496341116$$

Solution Steps

Evaluate trigonometric functions in the problem

$$5 \cdot 0.9961946980917455 - 2 \cdot 0.08715574274765817$$

Multiply 5 and 0.9961946980917455 to get 4.9809734904587275.

$$4.9809734904587275-2\times 0.08715574274765817$$

Multiply 2 and 0.08715574274765817 to get 0.17431148549531634.

$$4.9809734904587275-0.17431148549531634$$

Subtract 0.17431148549531634 from 4.9809734904587275 to get 4.80666200496341116.

$$4.80666200496341116$$

Factor

$$\frac{293 \cdot 2227063 \cdot 184154981}{2 ^ {15} \cdot 5 ^ {17}} = 4\frac{20166550124085280}{25000000000000000} = 4.806662004963411$$