Lesson Worksheet: Trigonometric Functions of Angles Mathematics

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In this worksheet, we will practice finding the trigonometric functions of any angle and using the reference angle to find them.

Q1:

Determine the quadrant in which 𝜃 lies if cos𝜃<0 and sin𝜃<0.

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

Q2:

Find the value of cos𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through (4,0).

Q3:

Find the value of sin𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through (0,−2).

Q4:

Find the value of tan𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through (5,0).

Q5:

Find the value of sec𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through (0,−7).

  • AUndefined
  • B1
  • C0
  • D−1

Q6:

Find the value of csc𝜃 where 𝜃 is the measure of an angle in standard position whose terminal side passes through (−2,0).

  • A−1
  • B0
  • CUndefined
  • D1

Q7:

What is the reference angle for −330∘?

Q8:

Given the angle 39𝜋4, find the principal angle.

  • A7𝜋4
  • B3𝜋4
  • C4𝜋7
  • D4𝜋3
  • E𝜋4

Q9:

Given the angle −2𝜋3, find the principal angle.

  • A2𝜋3
  • B𝜋3
  • C4𝜋3
  • D2𝜋
  • E𝜋

Q10:

Find the smallest positive equivalent of −270∘.

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