Solve sin(-30)-2tan(-45)-cos(-60)

$$\sin ( -30 ) -2 \tan ( -45 ) - \cos ( -60 )$$

Evaluate

$$1$$

Solution Steps

Use the property \sin(-x)=-\sin(x).

$$-\sin(30)-2\tan(-45)-\cos(-60)$$

Get the value of \sin(30) from trigonometric values table.

$$-\frac{1}{2}-2\tan(-45)-\cos(-60)$$

Use the property \tan(-x)=-\tan(x).

$$-\frac{1}{2}-2\left(-1\right)\tan(45)-\cos(-60)$$

Get the value of \tan(45) from trigonometric values table.

$$-\frac{1}{2}-2\left(-1\right)-\cos(-60)$$

Multiply 2 and -1 to get -2.

$$-\frac{1}{2}-\left(-2\right)-\cos(-60)$$

The opposite of -2 is 2.

$$-\frac{1}{2}+2-\cos(-60)$$

Add -\frac{1}{2} and 2 to get \frac{3}{2}.

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

Use the property \cos(-x)=\cos(x).

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

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

$$\frac{3}{2}-\frac{1}{2}$$

Subtract \frac{1}{2} from \frac{3}{2} to get 1.

$$1$$