Worksheet: Simplifying Trigonometric Expressions

In this worksheet, we will practice simplifying a trigonometric expression.

Q1:

Simplify sincostantanseccsc𝜃𝜃𝜃+𝜃𝜃𝜃.

Q2:

Simplify cosseccsc𝜃𝜃𝜃.

  • A1
  • B t a n 𝜃
  • C c o t 𝜃
  • D c o s 𝜃

Q3:

Simplify coscscsin𝜃𝜃𝜃.

  • A 𝜃 c o s
  • B t a n 𝜃
  • C s i n 𝜃
  • D c o s 𝜃

Q4:

Simplify tancsc(𝜃)𝜃.

  • A 𝜃 c s c
  • B 𝜃 s e c
  • C c o s 𝜃
  • D s e c 𝜃

Q5:

Simplify tansinsec𝜃𝜃𝜃.

  • A 𝜃 c o t
  • B s i n 𝜃
  • C 𝜃 s i n
  • D1

Q6:

Simplify sin(𝜃90).

  • A s i n 𝜃
  • B 𝜃 c o s
  • C 𝜃 s i n
  • D c o s 𝜃

Q7:

Simplify 1128sec.

  • A s i n 2 8
  • B s i n 2 8
  • C c o s 2 8
  • D c o s 2 8

Q8:

Simplify coscossec(180𝜃)(90𝜃)(𝜃180).

  • A 𝜃 c o s
  • B1
  • C s i n 𝜃
  • D c o s 𝜃

Q9:

Simplify sincostancot𝜃𝜃(𝜃+𝜃).

Q10:

Simplify tancscsin𝜃𝜃(90𝜃).

Q11:

Simplify 5𝑎𝑎costan.

  • A 5 2 2 𝑎 c o s
  • B 5 2 2 𝑎 s i n
  • C c o s 2 𝑎
  • D s i n 2 𝑎

Q12:

Find the value of 8𝜃×5𝜃sincsc.

Q13:

Simplify sincsccos𝜃𝜃𝜃.

  • A c s c 𝜃
  • B t a n 𝜃
  • C s i n 𝜃
  • D s e c 𝜃

Q14:

Simplify cossin3𝜃3𝜃.

  • A c o t 𝜃
  • B t a n 𝜃
  • C t a n 3 𝜃
  • D c o t 3 𝜃

Q15:

Simplify 31𝜃+26𝜃sincos.

  • A 2 6 + 5 𝜃 c o s
  • B 5 7 + 𝜃 c o s
  • C 5 7 + 𝜃 s i n
  • D 2 6 + 5 𝜃 s i n

Q16:

Simplify (𝜃+𝜃)2𝜃𝜃sincossincos.

Q17:

Simplify sincossincos𝜃𝜃𝜃𝜃.

Q18:

Simplify sinsin(𝜋𝜃)+(270𝜃).

Q19:

Simplify csc(270𝜃).

  • A 𝜃 c s c
  • B s e c 𝜃
  • C c s c 𝜃
  • D 𝜃 s e c

Q20:

Simplify csc(270+𝜃).

  • A 𝜃 c s c
  • B 𝜃 s e c
  • C c s c 𝜃
  • D s e c 𝜃

Q21:

Simplify sec(90+𝜃).

  • A 𝜃 s e c
  • B c s c 𝜃
  • C 𝜃 c s c
  • D s e c 𝜃

Q22:

Simplify seccot𝜃(𝜋𝜃).

  • A 𝜃 c o s
  • B 𝜃 s e c
  • C 𝜃 c s c
  • D s e c 𝜃

Q23:

Simplify cos(270+𝜃).

  • A c o s 𝜃
  • B 𝜃 s i n
  • C s i n 𝜃
  • D 𝜃 c o s

Q24:

Simplify sincotcsc𝜋2𝜃𝜋2𝜃(𝜋𝜃).

Q25:

Simplify csc(90+𝜃).

  • A s e c 𝜃
  • B s i n 𝜃
  • C c s c 𝜃
  • D c o s 𝜃

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