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Worksheet: Simplifying Trigonometric Expressions in Terms of Sine and Cosine

Q1:

Simplify c o s c o s s e c ( 1 8 0 โˆ’ ๐œƒ ) ( 9 0 โˆ’ ๐œƒ ) ( ๐œƒ โˆ’ 1 8 0 ) โˆ˜ โˆ˜ โˆ˜ .

  • A โˆ’ ๐œƒ c o s 2
  • B1
  • C c o s ๐œƒ
  • D s i n ๐œƒ

Q2:

Simplify s i n c o s t a n c o t ๐œƒ ๐œƒ ( ๐œƒ + ๐œƒ ) .

Q3:

Simplify s i n ( ๐œƒ โˆ’ 9 0 ) โˆ˜ .

  • A c o s ๐œƒ
  • B s i n ๐œƒ
  • C โˆ’ ๐œƒ s i n
  • D โˆ’ ๐œƒ c o s

Q4:

Find the value of 1 โˆ’ 1 2 8 s e c 2 โˆ˜ .

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

Q5:

Find the value of 1 โˆ’ 1 1 4 1 s e c 2 โˆ˜ .

  • A s i n 1 4 1 โˆ˜
  • B c o s 1 4 1 โˆ˜
  • C c o s 2 โˆ˜ 1 4 1
  • D s i n 2 โˆ˜ 1 4 1

Q6:

Simplify t a n c s c s i n ๐œƒ ๐œƒ ( 9 0 โˆ’ ๐œƒ ) โˆ˜ .

Q7:

Simplify 5 ๐‘Ž ๐‘Ž c o s t a n 2 .

  • A 5 2 2 ๐‘Ž c o s
  • B s i n 2 ๐‘Ž
  • C c o s 2 ๐‘Ž
  • D 5 2 2 ๐‘Ž s i n