Worksheet: Evaluating Trigonometric Function Values with Angles 30,45, and 60

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In this worksheet, we will practice finding the trigonometric function values for 30-, 45-, and 60-degree angles.

Q1:

Find the value of cossinsintantan6030−6060+30∘∘∘∘∘ without using a calculator.

  • A − 1 1 1 2
  • B 1 2 1 1
  • C 1 1 1 2
  • D − 1 2 1 1

Q2:

Find the value of 𝑋 given 9𝑋=606030costantan∘∘∘.

  • A 1 3 6
  • B 3 1 6
  • C 1 4
  • D 1 7 2

Q3:

Find the value of 1+603030tantancos∘∘∘.

  • A8
  • B 8 3
  • C4
  • D 3 8

Q4:

Find the value of costansin∘∘∘60−245−630.

  • A − 1 3 4
  • B − 2 3 4
  • C − 1 9 4
  • D − 9 4

Q5:

Find the value of 24530cossin∘∘.

  • A √ 6 2
  • B √ 6 3
  • C √ 2 2
  • D √ 2 4

Q6:

Find the value of tantansincos601−453060∘∘∘∘ without using a calculator.

  • A1
  • B − 1
  • C √ 3
  • D 1 2
  • E0

Q7:

Find the value of 33060−060+27045sinsincossecsincos∘∘∘∘∘∘.

  • A 1 0 + 3 √ 3 4
  • B − 1 0 − 3 √ 3 4
  • C 1 0 − 3 √ 3 4
  • D − 1 0 + 3 √ 3 4

Q8:

Find the value of tansincos∘∘∘30+40+7135.

  • A − 4 7 6
  • B 2 3 6
  • C − 2 3 6
  • D 4 7 6

Q9:

Find the value of sincos𝑥+𝑦 given 𝑥 and 𝑦 are complementary angles in the ratio 21:. Give the answer to four decimal places.

Q10:

Complete the following table:

𝜃 0 𝜋 6 3 𝜋 6 5 𝜋 6 𝜋 7 𝜋 6 9 𝜋 6 1 1 𝜋 6 2 𝜋
s i n 𝜃 0 0.5 ⋯ 0.5 0 − 0 . 5 − 1 − 0 . 5 0

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