Solve 2tanpi/4-2cospi/3+sinpi/2

$$2 \tan \frac { \pi } { 4 } - 2 \cos \frac { \pi } { 3 } + \sin \frac { \pi } { 2 }$$

Evaluate

$$2$$

Solution Steps

Get the value of \tan(\frac{\pi }{4}) from trigonometric values table.

$$2\times 1-2\cos(\frac{\pi }{3})+\sin(\frac{\pi }{2})$$

Multiply 2 and 1 to get 2.

$$2-2\cos(\frac{\pi }{3})+\sin(\frac{\pi }{2})$$

Get the value of \cos(\frac{\pi }{3}) from trigonometric values table.

$$2-2\times \frac{1}{2}+\sin(\frac{\pi }{2})$$

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

$$2-1+\sin(\frac{\pi }{2})$$

Subtract 1 from 2 to get 1.

$$1+\sin(\frac{\pi }{2})$$

Get the value of \sin(\frac{\pi }{2}) from trigonometric values table.

$$1+1$$

Add 1 and 1 to get 2.

$$2$$

Factor

$$2$$