# Worksheet: Trigonometric Ratios in Right Triangles

In this worksheet, we will practice finding and express the values of the three trigonometric ratios—sine, cosine, and tangent—for a given angle in a right triangle.

**Q4: **

Find the main trigonometric ratios of given is a right-angled triangle at where the ratio between and is .

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

**Q5: **

Find given that is a right-angled triangle at where and .

- A
- B
- C
- D

**Q6: **

In the triangle shown, is the side labeled adjacent to angle , opposite angle , or the hypotenuse?

- AAdjacent
- BHypotenuse
- COpposite

**Q7: **

In the triangle shown, would we call the side labeled the hypotenuse, the adjacent side to angle , or the side opposite angle ?

- AThe adjacent side to angle
- BThe side opposite angle
- CThe hypotenuse

**Q8: **

In the figure, which of the following words describes the position of the side labeled with respect to the angle ?

- AOpposite
- BAdjacent
- CHypotenuse

**Q9: **

Find the value of given is a right-angled triangle at where and .

- A
- B
- C
- D

**Q10: **

is an isosceles triangle where and . Find the value of given lies on the midpoint of where .

- A
- B
- C
- D

**Q11: **

Find , given that is an isosceles trapezoid, where , , , and .

**Q12: **

Find the value of , given that , , , and .

- A
- B
- C
- D

**Q13: **

Find the value of .

- A
- B
- C
- D

**Q14: **

What is the value of in the given triangle?

- A
- B
- C
- D
- E

**Q15: **

Find and given is a right-angled triangle at where .

- A and
- B and
- C and
- D and

**Q16: **

What is the value of in the given triangle?

- A
- B
- C
- D
- E

**Q17: **

What is the value of in the given triangle?

- A
- B2
- C1
- D
- E

**Q18: **

is an isosceles triangle where and . Find the value of given that is the midpoint of .

- A
- B
- C
- D

**Q19: **

Find , given is a right-angled triangle at where and .

- A
- B
- C
- D

**Q20: **

What is the value of in the given triangle?

- A
- B
- C
- D
- E

**Q21: **

Find the value of given is a right triangle at where and .

- A
- B
- C
- D

**Q23: **

Find the value of given is a right-angled triangle at where .

- A
- B
- C
- D2

**Q24: **

What is the value of in the given triangle?

- A
- B
- C
- D
- E

**Q25: **

is a triangle, where the ratio between its lengths , , and is . Find .

- A
- B
- C
- D