In this worksheet, we will practice solving simple trigonometric equations.

**Q5: **

Suppose is a point on a unit circle corresponding to the angle of . Is there another point on the unit circle representing an angle in the interval that has the same tangent value? If yes, give the angle.

- Ayes,
- Bno
- Cyes,
- Dyes,
- Eyes,

**Q6: **

Consider , a point on a unit circle corresponding to the angle of . Is there another point on the unit circle that has the same -coordinate as and represents an angle in the interval ? If yes, give the angle.

- Ayes,
- Byes,
- Cyes,
- Dno
- Eyes,

**Q7: **

Find the set of values satisfying where .

- A
- B
- C
- D

**Q8: **

Find the general solution to the equation .

- A , where
- B , where
- C , where
- D , where

**Q9: **

Suppose is a point on a unit circle corresponding to the angle of . Is there another point on the unit circle that represents an angle in the interval and has the same -coordinate as ? If yes, give the angle.

- Ano
- Byes,
- Cyes,
- Dyes,
- Eyes,

**Q10: **

Find the set of values satisfying where .

- A
- B
- C
- D
- E

**Q11: **

Find in degrees given where is the smallest positive angle.

**Q13: **

What is the general solution of ?

- A or where is an integer.
- B or where is an integer.
- C or where is an integer.
- D or where is an integer.

**Q14: **

Find the set of values satisfying where . Give the answers to the nearest second.

- A
- B
- C
- D
- E

**Q15: **

Find the values of that satisfy where giving the answer to the nearest minute.

- A ,
- B ,
- C ,
- D ,

**Q16: **

Find all the possible general solutions of .

- A , , ,
- B , , ,
- C , , ,
- D , , ,
- E ,

**Q17: **

Find the set of values satisfying , where .

- A
- B
- C
- D
- E

**Q18: **

Find the general solution to the equation .

- A or where
- B or where
- C or where
- D or where

**Q19: **

Find the set of values satisfying given .

- A
- B
- C
- D
- E

**Q20: **

Is there a value of the tangent function that is obtained from ONLY one angle in the interval ? If yes, give the angle.

- Ayes, 0
- Byes,
- Cyes,
- Dno
- Eyes,

**Q21: **

Find the values of that satisfy given . Give the answer to the nearest minute.

- A
- B
- C
- D

**Q22: **

Find all the possible values of given where . Give the answer to the nearest second.

- A or
- B or
- C or
- D or

**Q23: **

Find all the possible values of given where . Give the answer to the nearest second.

- A or
- B or
- C or
- D or

**Q24: **

Find the set of values satisfying , where .

- A
- B
- C
- D
- E

**Q25: **

Find the general solution to the equation .

- A , , where
- B , , where
- C , , where
- D , , where