Lesson Worksheet: Evaluating Trigonometric Functions Using Cofunction Identities Mathematics

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.

  • A14
  • B34
  • C14
  • D34

Q3:

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

  • A12
  • B12
  • C2
  • D2

Q4:

Find the value of sintancotcos1520×7075.

Q5:

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

  • A45
  • B45
  • C35
  • D35

Q6:

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

  • A43
  • B43
  • C34
  • D34

Q7:

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

  • A72
  • B72
  • C735
  • D735

Q8:

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

  • A45
  • B54
  • C45
  • D54

Q9:

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

  • A34
  • B34
  • C54
  • D54

Q10:

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

  • A234
  • B13920
  • C13920
  • D234

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