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

Lesson: Reciprocal and Quotient Identities

Sample Question Videos

Worksheet • 12 Questions • 1 Video

Q1:

Which of the following is equal to t a n 6 9 ?

  • A s i n c o s 6 9 6 9
  • B c o s s i n 6 9 6 9
  • C 3 2 3 2 3 s i n c o s
  • D 3 2 3 t a n

Q2:

Find the value of 2 𝜃 𝜃 + 1 1 𝜃 𝜃 + 7 𝜃 𝜃 s i n c s c c o s s e c t a n c o t .

Q3:

Which of the following is equivalent to s i n c o s 𝜃 𝜃 ?

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

Q4:

Find the value of t a n 𝜃 given 1 1 𝜃 1 3 𝜃 1 1 𝜃 + 1 3 𝜃 = 2 3 c o s s i n c o s s i n .

  • A 1 1 6 5
  • B 1 1 1 3
  • C 5 5 1 3
  • D 1 1 1 3

Q5:

Which of the following expressions is equivalent to c s c 𝜃 ?

  • A 1 𝜃 s i n
  • B 1 𝜃 c s c
  • C 1 𝜃 c o s
  • D 1 𝜃 c o t
  • E 1 𝜃 s e c

Q6:

Which of the following expressions is equivalent to s e c 𝜃 ?

  • A 1 𝜃 c o s
  • B 1 𝜃 c o s e c
  • C 1 𝜃 s i n
  • D 1 𝜃 c o t
  • E 1 𝜃 s e c

Q7:

Which of the following expressions is equivalent to 1 𝜃 c s c ?

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

Q8:

Which of the following expressions is equivalent to 1 𝜃 c o t ?

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

Q9:

Which of the following expressions is equivalent to 1 𝜃 t a n ?

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

Q10:

Find s i n 𝐵 given t a n 𝐵 = 4 3 and c o s 𝐵 = 3 5 .

  • A 4 5
  • B 1 2 2 5
  • C 2 4 5
  • D 1 4 0

Q11:

Which of the following expressions is equivalent to c o t 𝜃 ?

  • A c o s s i n 𝜃 𝜃
  • B 1 𝜃 s e c
  • C s i n c o s 𝜃 𝜃
  • D 1 𝜃 s i n
  • E 1 𝜃 c o s

Q12:

Find t a n 𝐴 given s i n 𝐴 = 0 . 5 and c o s 𝐴 = 3 2 .

  • A 1 3
  • B 3
  • C 3 5 0
  • D 5 0 3
Preview