Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Lesson: Related and Correlated Angle Identities

Worksheet • 18 Questions

Q1:

Using the fact that c o s s i n πœƒ = ( 9 0 βˆ’ πœƒ ) ∘ , which of the following is equivalent to c o s 3 5 ∘ ?

  • A s i n 5 5 ∘
  • B 1 3 5 s i n ∘
  • C s i n 3 5 ∘
  • D βˆ’ 3 5 s i n ∘
  • E s i n 1 4 5 ∘

Q2:

Which of the following is equivalent to c o s 4 0 ∘ ?

  • A s i n 5 0 ∘
  • B s i n 1 4 0 ∘
  • C s i n 4 0 ∘
  • D 1 4 0 s i n ∘
  • E βˆ’ 4 0 s i n ∘

Q3:

Which of the following is equivalent to s i n 2 3 ∘ ?

  • A c o s 6 7 ∘
  • B c o s 1 5 7 ∘
  • C c o s 2 3 ∘
  • D 1 2 3 c o s ∘
  • E βˆ’ 2 3 c o s ∘

Q4:

Which of the following is equal to βˆ’ πœƒ s i n ?

  • A c o s ο€» πœ‹ 2 + πœƒ 
  • B s i n ο€» πœ‹ 2 + πœƒ 
  • C c o s ο€Ό 3 πœ‹ 2 + πœƒ 
  • D s i n ο€Ό 3 πœ‹ 2 + πœƒ 

Q5:

Which of the following is equal to βˆ’ πœƒ c o s ?

  • A s i n ο€Ό 3 πœ‹ 2 + πœƒ 
  • B s i n ο€» πœ‹ 2 + πœƒ 
  • C c o s ο€Ό 3 πœ‹ 2 + πœƒ 
  • D c o s ο€» πœ‹ 2 + πœƒ 

Q6:

Which of the following is equivalent to s i n 6 0 ∘ ?

  • A c o s 3 0 ∘
  • B c o s 1 2 0 ∘
  • C c o s 6 0 ∘
  • D 1 6 0 c o s ∘
  • E βˆ’ 6 0 c o s ∘

Q7:

Simplify t a n ( 3 6 0 βˆ’ πœƒ ) ∘ .

  • A βˆ’ πœƒ t a n
  • B t a n πœƒ
  • C βˆ’ πœƒ c o t
  • D c o t πœƒ

Q8:

Simplify t a n ( 9 0 + πœƒ ) ∘ .

  • A βˆ’ πœƒ c o t
  • B c o t πœƒ
  • C βˆ’ πœƒ t a n
  • D t a n πœƒ

Q9:

Which of the following is equal to c o s πœƒ ?

  • A s i n ο€» πœ‹ 2 + πœƒ 
  • B c o s ο€» πœ‹ 2 + πœƒ 
  • C c o s ο€Ό 3 πœ‹ 2 + πœƒ 
  • D s i n ο€Ό 3 πœ‹ 2 + πœƒ 

Q10:

Simplify t a n ( 2 7 0 + πœƒ ) ∘ .

  • A βˆ’ πœƒ c o t
  • B t a n πœƒ
  • C c o t πœƒ
  • D βˆ’ πœƒ t a n

Q11:

Simplify t a n ( 1 8 0 βˆ’ πœƒ ) ∘ .

  • A βˆ’ πœƒ t a n
  • B t a n πœƒ
  • C βˆ’ πœƒ c o t
  • D c o t πœƒ

Q12:

Simplify c o s ( 9 0 βˆ’ πœƒ ) ∘ .

  • A s i n πœƒ
  • B c s c πœƒ
  • C c o s πœƒ
  • D s e c πœƒ

Q13:

Simplify c o s ( 3 6 0 βˆ’ πœƒ ) ∘ .

  • A c o s πœƒ
  • B βˆ’ πœƒ c o s
  • C βˆ’ πœƒ s i n
  • D s i n πœƒ

Q14:

Simplify t a n ( 2 7 0 βˆ’ πœƒ ) ∘ .

  • A c o t πœƒ
  • B t a n πœƒ
  • C βˆ’ πœƒ c o t
  • D βˆ’ πœƒ t a n

Q15:

Which of the following is equivalent to c o s 3 3 ∘ ?

  • A s i n 5 7 ∘
  • B s i n 1 4 7 ∘
  • C s i n 3 3 ∘
  • D 1 3 3 s i n ∘
  • E βˆ’ 3 3 s i n ∘

Q16:

Which of the following is equivalent to s i n 8 0 ∘ ?

  • A c o s 1 0 ∘
  • B c o s 1 0 0 ∘
  • C c o s 8 0 ∘
  • D 1 8 0 c o s ∘
  • E βˆ’ 8 0 c o s ∘

Q17:

Simplify c o s ( 9 0 + πœƒ ) ∘ .

  • A βˆ’ πœƒ s i n
  • B βˆ’ πœƒ c s c
  • C c s c πœƒ
  • D s i n πœƒ

Q18:

Simplify c o s c o s πœƒ + ( 1 8 0 βˆ’ πœƒ ) ∘ .

Preview