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