Worksheet: Related and Correlated Angle Identities

Download Practice

In this worksheet, we will practice identifying equivalent angles of sine, cosine, and tangent using cofunction identities.

Q1:

Simplify c o s ( 3 6 0 − 𝜃 ) ∘ .

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

Q2:

Simplify t a n ( 1 8 0 − 𝜃 ) ∘ .

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

Q3:

Simplify c o s c o s 𝜃 + ( 1 8 0 − 𝜃 ) ∘ .

Q4:

Simplify t a n ( 3 6 0 − 𝜃 ) ∘ .

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

Q5:

Using the fact that c o s s i n 𝜃 = ( 9 0 − 𝜃 ) ∘ , which of the following is equivalent to c o s 3 5 ∘ ?

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

Q6:

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

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

Q7:

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

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

Q8:

Which of the following is equal to − 𝜃 s i n ?

  • A s i n 3 𝜋 2 + 𝜃
  • B s i n 𝜋 2 + 𝜃
  • C c o s 3 𝜋 2 + 𝜃
  • D c o s 𝜋 2 + 𝜃

Q9:

Which of the following is equal to − 𝜃 c o s ?

  • A c o s 𝜋 2 + 𝜃
  • B s i n 𝜋 2 + 𝜃
  • C c o s 3 𝜋 2 + 𝜃
  • D s i n 3 𝜋 2 + 𝜃

Q10:

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

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

Q11:

Simplify t a n ( 9 0 + 𝜃 ) ∘ .

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

Q12:

Which of the following is equal to c o s 𝜃 ?

  • A s i n 3 𝜋 2 + 𝜃
  • B c o s 𝜋 2 + 𝜃
  • C c o s 3 𝜋 2 + 𝜃
  • D s i n 𝜋 2 + 𝜃

Q13:

Simplify t a n ( 2 7 0 + 𝜃 ) ∘ .

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

Q14:

Simplify c o s ( 9 0 − 𝜃 ) ∘ .

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

Q15:

Simplify t a n ( 2 7 0 − 𝜃 ) ∘ .

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

Q16:

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

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

Q17:

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

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

Q18:

Simplify c o s ( 9 0 + 𝜃 ) ∘ .

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

Q19:

Determine whether the following statement is true or false:

s e c s e c 0 < 4 5 ∘ ∘ .

  • ATrue
  • BFalse

Q20:

True or false: c s c c s c 7 5 > 6 0 ∘ ∘ .

  • AFalse
  • BTrue

Q21:

Determine whether the following statement is true or false:

c o s c o s 2 5 < 1 0 ∘ ∘ .

  • ATrue
  • BFalse

Q22:

Determine whether the following statement is true or false:

s i n s i n 3 0 > 6 0 ∘ ∘ .

  • AFalse
  • BTrue

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