Solve 2cos(30^circ)-tan(60^circ)+sin(30^circ)+1/2tan(45^circ)

$$2 \cos ( 30 ^ { \circ } ) - \tan ( 60 ^ { \circ } ) + \sin ( 30 ^ { \circ } ) + \frac{ 1 }{ 2 } \tan ( 45 ^ { \circ } )$$

Evaluate

$$1$$

Solution Steps

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

$$2\times \frac{\sqrt{3}}{2}-\tan(60)+\sin(30)+\frac{1}{2}\tan(45)$$

Cancel out 2 and 2.

$$\sqrt{3}-\tan(60)+\sin(30)+\frac{1}{2}\tan(45)$$

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

$$\sqrt{3}-\sqrt{3}+\sin(30)+\frac{1}{2}\tan(45)$$

Combine \sqrt{3} and -\sqrt{3} to get 0.

$$0+\sin(30)+\frac{1}{2}\tan(45)$$

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

$$0+\frac{1}{2}+\frac{1}{2}\tan(45)$$

Add 0 and \frac{1}{2} to get \frac{1}{2}.

$$\frac{1}{2}+\frac{1}{2}\tan(45)$$

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

$$\frac{1}{2}+\frac{1}{2}\times 1$$

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

$$\frac{1}{2}+\frac{1}{2}$$

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

$$1$$