Worksheet: Simplifying Trigonometric Expressions

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

Q1:

Simplify sincostantanseccsc𝜃𝜃𝜃+𝜃𝜃𝜃.

Q2:

Simplify cosseccsc𝜃𝜃𝜃.

  • A1
  • Btan𝜃
  • Ccot𝜃
  • Dcos𝜃

Q3:

Simplify coscscsin𝜃𝜃𝜃.

  • A𝜃cos
  • Btan𝜃
  • Csin𝜃
  • Dcos𝜃

Q4:

Simplify tancsc(𝜃)𝜃.

  • A𝜃csc
  • B𝜃sec
  • Ccos𝜃
  • Dsec𝜃

Q5:

Simplify tansinsec𝜃𝜃𝜃.

  • A𝜃cot
  • Bsin𝜃
  • C𝜃sin
  • D1

Q6:

Simplify sin(𝜃90).

  • Asin𝜃
  • B𝜃cos
  • C𝜃sin
  • Dcos𝜃

Q7:

Simplify 1128sec.

  • Asin28
  • Bsin28
  • Ccos28
  • Dcos28

Q8:

Simplify coscossec(180𝜃)(90𝜃)(𝜃180).

  • A𝜃cos
  • B1
  • Csin𝜃
  • Dcos𝜃

Q9:

Simplify sincostancot𝜃𝜃(𝜃+𝜃).

Q10:

Simplify tancscsin𝜃𝜃(90𝜃).

Q11:

Simplify 5𝑎𝑎costan.

  • A522𝑎cos
  • B522𝑎sin
  • Ccos2𝑎
  • Dsin2𝑎

Q12:

Find the value of 8𝜃×5𝜃sincsc.

Q13:

Simplify sincsccos𝜃𝜃𝜃.

  • Acsc𝜃
  • Btan𝜃
  • Csin𝜃
  • Dsec𝜃

Q14:

Simplify cossin3𝜃3𝜃.

  • Acot𝜃
  • Btan𝜃
  • Ctan3𝜃
  • Dcot3𝜃

Q15:

Simplify 31𝜃+26𝜃sincos.

  • A26+5𝜃cos
  • B57+𝜃cos
  • C57+𝜃sin
  • D26+5𝜃sin

Q16:

Simplify (𝜃+𝜃)2𝜃𝜃sincossincos.

Q17:

Simplify sincossincos𝜃𝜃𝜃𝜃.

Q18:

Simplify sinsin(𝜋𝜃)+(270𝜃).

Q19:

Simplify csc(270𝜃).

  • A𝜃csc
  • Bsec𝜃
  • Ccsc𝜃
  • D𝜃sec

Q20:

Simplify csc(270+𝜃).

  • A𝜃csc
  • B𝜃sec
  • Ccsc𝜃
  • Dsec𝜃

Q21:

Simplify sec(90+𝜃).

  • A𝜃sec
  • Bcsc𝜃
  • C𝜃csc
  • Dsec𝜃

Q22:

Simplify seccot𝜃(𝜋𝜃).

  • A𝜃cos
  • B𝜃sec
  • C𝜃csc
  • Dsec𝜃

Q23:

Simplify cos(270+𝜃).

  • Acos𝜃
  • B𝜃sin
  • Csin𝜃
  • D𝜃cos

Q24:

Simplify sincotcsc𝜋2𝜃𝜋2𝜃(𝜋𝜃).

Q25:

Simplify csc(90+𝜃).

  • Asec𝜃
  • Bsin𝜃
  • Ccsc𝜃
  • Dcos𝜃

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