Solve 15*cos23^circ-15/5

$$\frac { 15 \times \cos 23 ^ { \circ } - 15 } { 5 }$$

Evaluate

$$-0.2384854396426788$$

Solution Steps

Evaluate trigonometric functions in the problem

$$\frac{15 \cdot 0.9205048534524404 - 15}{5}$$

Multiply 15 and 0.9205048534524404 to get 13.807572801786606.

$$\frac{13.807572801786606-15}{5}$$

Subtract 15 from 13.807572801786606 to get -1.192427198213394.

$$\frac{-1.192427198213394}{5}$$

Expand \frac{-1.192427198213394}{5} by multiplying both numerator and the denominator by 1000000000000000.

$$\frac{-1192427198213394}{5000000000000000}$$

Reduce the fraction \frac{-1192427198213394}{5000000000000000} to lowest terms by extracting and canceling out 2.

$$-\frac{596213599106697}{2500000000000000}$$

Factor

$$-0.2384854396426788$$