Solve -47*sin(60)+47cos(60)

$$-47 \times \sin ( 60 ) +47 \cos ( 60 )$$

Evaluate

$$\frac{47-47\sqrt{3}}{2}\approx -17.203193978$$

Short Solution Steps

Get the value of \sin(60) from trigonometric values table.

$$-47\times \frac{\sqrt{3}}{2}+47\cos(60)$$

Express -47\times \frac{\sqrt{3}}{2} as a single fraction.

$$\frac{-47\sqrt{3}}{2}+47\cos(60)$$

Get the value of \cos(60) from trigonometric values table.

$$\frac{-47\sqrt{3}}{2}+47\times \frac{1}{2}$$

Multiply 47 and \frac{1}{2} to get \frac{47}{2}.

$$\frac{-47\sqrt{3}}{2}+\frac{47}{2}$$

Since \frac{-47\sqrt{3}}{2} and \frac{47}{2} have the same denominator, add them by adding their numerators.

$$\frac{-47\sqrt{3}+47}{2}$$