Step 1a

Identify the angle measure: In this case, the angle measure is \$(5pi)/6\$.

Identify the trigonometric functions: The trigonometric functions given are sin and cos.

Recall the values of trigonometric functions for common angles:

For \$(5pi)/6\$, we need to use the reference angle \$pi/6\$, and the fact that sine is negative in the third quadrant while cosine is negative in the second quadrant.

So, sin \$(5pi)/6\$ = - sin \$pi/6\$ = \$-1/2\$
and cos \$(5pi)/6\$ = - cos \$pi/6\$ = \$-\sqrt3/2\$

Therefore, sin \$(5pi)/6\$ = \$- 1/2\$ and

cos \$(5pi)/6\$ = \$-\sqrt3/2\$.

Explanation: Here, identify the angle and trigonometric function, then find \$sin((5π)/6) = -1/2\$ and \$cos((5π)/6) = -\sqrt(3)/2\$.