# Worksheet: Trigonometric Functions of Standard Position Angle

In this worksheet, we will practice finding the values of the six trigonometric functions of an angle θ given in standard position.

**Q5: **

Two points and lie on the unit circle centered at the origin such that the coordinate of are and .

Which of the following properties of do you need to use to find the coordinates of point .

- AAll three internal angles are equal.
- BThe height of an equilateral triangle is half its median.
- CThe height of an equilateral triangle is equal to its side.
- DThe height of an equilateral triangle is also its median.
- EAll three sides are equal.

Hence, find and .

- A
- B
- C
- D
- E

The line intersects the line at . The triangle is formed by reflecting in the line . What kind of triangle is the triangle ?

- AIsosceles
- BEquilateral
- CRight
- DScalene

Find (i.e., ).

- A
- B1
- C
- D
- E

**Q6: **

Find the value of where is the measure of an angle in standard position whose terminal side passes through .

**Q7: **

Find the value of where is the measure of an angle in standard position whose terminal side passes through .

**Q8: **

Find the value of where is the measure of an angle in standard position whose terminal side passes through .

**Q9: **

Find given is in standard position and its terminal side passes through the point .

- A
- B
- C
- D

**Q10: **

Find given is in standard position and its terminal side passes through the point .

- A
- B
- C
- D

**Q11: **

Find given is in standard position and its terminal side passes through the point .

- A
- B
- C
- D

**Q12: **

The terminal side of the angle intersects the unit circle at the point where is a positive acute angle drawn in standard position. Find the value of .

- A
- B
- C
- D

**Q13: **

The terminal side of in standard position intersects with the unit circle at the point with coordinates . Find .

- A
- B
- C
- D

**Q14: **

Find given is in standard position and its terminal side passes through the point .

- A
- B
- C
- D

**Q15: **

The terminal side of the angle intersects the unit circle at the point where is a positive acute angle drawn in standard position. Find the value of giving the answer to the nearest second.

- A
- B
- C
- D

**Q17: **

The terminal side of intersects the unit circle at the point where . Find the exact value of .

- A
- B
- C
- D

**Q18: **

The terminal side of intersects the unit circle at the point where . Find the value giving the answer to the nearest second.

- A
- B
- C
- D

**Q19: **

**Q20: **

- AUndefined
- B1
- C0
- D

**Q21: **

- A
- B0
- CUndefined
- D1