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.

  • A1112
  • B1211
  • C1112
  • D1211

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 costansin60245630.

  • A134
  • B234
  • C194
  • D94

Q5:

Find the value of 24530cossin.

  • A62
  • B63
  • C22
  • D24

Q6:

Find the value of tantansincos601453060 without using a calculator.

  • A1
  • B1
  • C3
  • D12
  • E0

Q7:

Find the value of 33060060+27045sinsincossecsincos.

  • A10+334
  • B10334
  • C10334
  • D10+334

Q8:

Find the value of tansincos30+40+7135.

  • A236
  • B476
  • 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
sin𝜃00.50.500.510.50

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