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Worksheet: Finding Values for Trigonometric Functions in Right Triangles

Q1:

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

  • Ahypotenuse
  • Badjacent side to angle
  • Copposite angle

Q2:

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

  • Aadjacent
  • Bhypotenuse
  • Copposite

Q3:

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

  • A
  • B
  • C
  • D
  • E

Q4:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q5:

Find , given is a right triangle at where and .

  • A
  • B
  • C
  • D

Q6:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q7:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q8:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q9:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q10:

What is the value of in the given triangle?

  • A
  • B
  • C
  • D
  • E

Q11:

Find , given that is a right triangle at , where and .

  • A
  • B
  • C
  • D
  • E

Q12:

Consider the given right triangle. Find .

  • A
  • B
  • C
  • D
  • E

Q13:

In the figure, which of the following words describe the position of the side labelled with respect to the angle ?

  • Aopposite
  • Bhypotenuse
  • Cadjacent

Q14:

Find the length of giving the answer to two decimal places.

Q15:

Find the length of giving the answer to two decimal places.

Q16:

Find the length of giving the answer to two decimal places.

Q17:

Find the measure of giving the answer to the nearest second.

  • A
  • B
  • C
  • D

Q18:

Find giving the answer to the nearest second.

  • A
  • B
  • C
  • D

Q19:

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

  • A, ,
  • B, ,
  • C, ,
  • D, ,

Q20:

Find given that is a right triangle at , where and .

  • A
  • B
  • C
  • D
  • E

Q21:

Find given that is a right triangle at , where and .

  • A
  • B
  • C
  • D
  • E

Q22:

Find the main trigonometric ratios of given is a right triangle at where .

  • A, and
  • B, and
  • C, and
  • D, and

Q23:

Find the values of and giving the answer to three decimal places.

  • A,
  • B,
  • C,
  • D,

Q24:

Find the value of .

  • A
  • B
  • C
  • D

Q25:

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

  • A
  • B
  • C
  • D