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

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

Q1:

Find the value of cossinsintantan60306060+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 costansin60245630.

  • 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 tantansincos601453060 without using a calculator.

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

Q7:

Find the value of 33060060+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 tansincos30+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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