Solve sin(90)+cos(360)+sin(270)+cos(180)/cos(0)+sin(0)

$$\frac{ \sin ( 90 ) + \cos ( 360 ) + \sin ( 270 ) + \cos ( 180 ) }{ \cos ( 0 ) + \sin ( 0 ) }$$

Evaluate

$$0$$

Solution Steps

Get the value of \sin(90) from trigonometric values table.

$$\frac{1+\cos(360)+\sin(270)+\cos(180)}{\cos(0)+\sin(0)}$$

Get the value of \cos(360) from trigonometric values table.

$$\frac{1+1+\sin(270)+\cos(180)}{\cos(0)+\sin(0)}$$

Add 1 and 1 to get 2.

$$\frac{2+\sin(270)+\cos(180)}{\cos(0)+\sin(0)}$$

Get the value of \sin(270) from trigonometric values table.

$$\frac{2-1+\cos(180)}{\cos(0)+\sin(0)}$$

Subtract 1 from 2 to get 1.

$$\frac{1+\cos(180)}{\cos(0)+\sin(0)}$$

Get the value of \cos(180) from trigonometric values table.

$$\frac{1-1}{\cos(0)+\sin(0)}$$

Subtract 1 from 1 to get 0.

$$\frac{0}{\cos(0)+\sin(0)}$$

Get the value of \cos(0) from trigonometric values table.

$$\frac{0}{1+\sin(0)}$$

Get the value of \sin(0) from trigonometric values table.

$$\frac{0}{1+0}$$

Add 1 and 0 to get 1.

$$\frac{0}{1}$$

Anything divided by one gives itself.

$$0$$