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−1112
  • B1211
  • C1112
  • D−1211

Q2:

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

  • A136
  • B316
  • C14
  • D172

Q3:

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

  • A8
  • B83
  • C4
  • D38

Q4:

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

  • A−134
  • B−234
  • C−194
  • D−94

Q5:

Find the value of 24530cossin∘∘.

  • A√62
  • B√63
  • C√22
  • D√24

Q6:

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

  • A1
  • B−1
  • C√3
  • D12
  • E0

Q7:

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

  • A10+3√34
  • B−10−3√34
  • C10−3√34
  • D−10+3√34

Q8:

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

  • A−236
  • B−476
  • C476
  • D236

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:

𝜃0𝜋63𝜋65𝜋6𝜋7𝜋69𝜋611𝜋62𝜋
sin𝜃00.5⋯0.50−0.5−1−0.50

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