Lesson Worksheet: Evaluating Trigonometric Functions Using Cofunction Identities Mathematics

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In this worksheet, we will practice using cofunction and odd/even identities to find the values of trigonometric functions.

Q1:

Find the value of seccsc10515∘∘.

Q2:

Find the value of sincostancot(−60)30+5733∘∘∘∘ giving the answer in its simplest form.

  • A−14
  • B34
  • C14
  • D−34

Q3:

Find the value of cscseccsc(56)(34)+(180−𝜃)∘∘∘ given sin𝜃=1.

  • A12
  • B−12
  • C−2
  • D2

Q4:

Find the value of sintancotcos1520×7075∘∘∘∘.

Q5:

Find the value of cos(90+𝜃)∘ given sin𝜃=35 where 0<𝜃<90∘∘.

  • A−45
  • B45
  • C35
  • D−35

Q6:

Find the value of tan(270−𝜃)∘ given cos𝜃=−45 where 90<𝜃<180∘∘.

  • A43
  • B−43
  • C−34
  • D34

Q7:

Find the value of csc(270−𝜃)∘ given sin(90−𝜃)=27∘ where 𝜃 is the smallest positive angle.

  • A−72
  • B72
  • C73√5
  • D−73√5

Q8:

Find csc𝛽 given 𝛼 and 𝛽 are two complementary angles where sec𝛼=54.

  • A−45
  • B54
  • C45
  • D−54

Q9:

𝐴𝐵𝐶 is a right triangle at 𝐵. Find cot𝛼 given that cot𝜃=43.

  • A34
  • B−34
  • C−54
  • D54

Q10:

Find the value of sintansin(180−𝑥)+(360−𝑥)+7(270−𝑥)∘∘∘ given sin𝑥=35 where 0<𝑥<90∘∘ .

  • A234
  • B13920
  • C−13920
  • D−234

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