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In this lesson, we will learn how to use the reciprocal to find trigonometric identities like the sine, cosine, and tangent functions and how to use quotient identities.

Q1:

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

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 ?

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 .

Q5:

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

Q6:

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

Q7:

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

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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

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