### Home > PC > Chapter 6 > Lesson 6.1.1 > Problem6-12

6-12.

Find the exact value of the following trig expressions.

1. $\csc\frac { 5 \pi } { 6 }$

1. Plot the point on a unit circle.
2. Find the sin first.
3. Flip the answer for the csc. (Find the reciprocal)

1. $\tan\frac { \pi } { 2 }$

Since the $\tan x=\frac{\text{sin }x}{\text{cos }x},$ what issues can occur for denominator values of a fraction?

1. $\cot \frac { 5 \pi } { 3 }$

Plot the point finding the side of the reference angle.
Find the tan first and take its reciprocal for the cot.

1. $\sec\frac { 7 \pi } { 6 }$

Find the cos first and then its reciprocal for the sec.