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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 ?

  • Aadjacent side to angle
  • Bopposite angle
  • Chypotenuse

Q2:

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

  • Ahypotenuse
  • Bopposite
  • Cadjacent

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 ?

  • Ahypotenuse
  • Badjacent
  • Copposite

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