Solve {l}{cos(2pi3/4)}{sin(2pi3/4)}

$$\left. \begin{array} { l } { \cos ( 2 \pi \frac { 3 } { 4 } ) } \\ { \sin ( 2 \pi \frac { 3 } { 4 } ) } \end{array} \right.$$

Sort

$$-1,0$$

Solution Steps

Multiply 2 and \frac{3}{4} to get \frac{3}{2}.

$$sort(\cos(\frac{3}{2}\pi ),\sin(2\pi \times \frac{3}{4}))$$

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

$$sort(0,\sin(2\pi \times \frac{3}{4}))$$

Multiply 2 and \frac{3}{4} to get \frac{3}{2}.

$$sort(0,\sin(\frac{3}{2}\pi ))$$

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

$$sort(0,-1)$$

To sort the list, start from a single element 0.

$$0$$

Insert -1 to the appropriate location in the new list.

$$-1,0$$

Evaluate

$$0,\ -1$$