In this worksheet, we will practice using the fact that the quadrant where an angle lies determines the signs of its sine, cosine, and tangent and solve trigonometric equations.

**Q6: **

In which quadrant does lie if and ?

- A the third
- B the second
- C the fourth
- D the first

**Q7: **

Determine the quadrant in which lies if and .

- Athe third quadrant
- Bthe second quadrant
- Cthe fourth quadrant
- Dthe first quadrant

**Q8: **

Which function does the plot shown in the graph represent?

- Atangent
- Bcosine
- Csine

Assign each region of the plot with the corresponding quadrant of the unit circle.

- AA: IV, B: I, C: II, D: III
- BA: III, B: IV, C: I, D: II
- CA: II, B: III, C: IV, D: I
- DA: I, B: II, C: III, D: IV
- EA: I, B: II, C: IV, D: III

**Q10: **

In the figure, points and lie on the unit circle, and .

Express the values of sine, cosine, and tangent of in terms of their values for . Check whether this is valid for all values of .

- A
- B
- C
- D
- E

**Q12: **

A point is traveling on a unit circle at a speed of one complete rotation per second.

If its position represents an angle at a time , when will it have the same position again?

- Ahalf a second later
- Bone-third of a second later
- Cone and a half seconds later
- Done second later
- Etwo seconds later

How would you express the angle representing its position at this time?

- A
- B
- C
- D
- E

Deduce what the period of the cosine and sine functions is.

- A
- B
- C
- D
- E

**Q13: **

Consider the following figures.

Which function does the plot in the graph, figure (a), represent?

- Atangent
- Bsine
- Ccosine

Assign each region of the plot in figure (a) with the corresponding quadrant of the unit circle in figure (b).

- AA: II, B: III, C: IV, D: I
- BA: III, B: IV, C: I, D: II
- CA: I, B: II, C: III, D: IV
- DA: IV, B: I, C: II, D: III
- EA: I, B: II, C: IV, D: III

**Q14: **

Which function does the plot shown in the graph represent?

- Atangent
- Bcosine
- Csine

Assign each region of the plot with the corresponding quadrant of the unit circle.

- AA: III, B: IV, C: I, D: II
- BA: II, B: III, C: IV, D: I
- CA: IV, B: I, C: II, D: III
- DA: I, B: II, C: III, D: IV
- EA: I, B: II, C: IV, D: III

**Q16: **

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

- A
- B
- C
- D