Solve y=cos2pi-sinpi/2+sin3pi/2-cospi

$$y = \cos 2 \pi - \sin \frac { \pi } { 2 } + \sin 3 \frac { \pi } { 2 } - \cos \pi$$

Solve for y

$$y=0$$

Steps for Solving Linear Equation

Get the value of \cos(2\pi ) from trigonometric values table.

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

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

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

Subtract 1 from 1 to get 0.

$$y=0+\sin(3\times \frac{\pi }{2})-\cos(\pi )$$

Express 3\times \frac{\pi }{2} as a single fraction.

$$y=0+\sin(\frac{3\pi }{2})-\cos(\pi )$$

Get the value of \sin(\frac{3\pi }{2}) from trigonometric values table.

$$y=0-1-\cos(\pi )$$

Subtract 1 from 0 to get -1.

$$y=-1-\cos(\pi )$$

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

$$y=-1-\left(-1\right)$$

The opposite of -1 is 1.

$$y=-1+1$$

Add -1 and 1 to get 0.

$$y=0$$

Assign y

$$y≔0$$