Trigonometry Test Review!

DefinitionsGiven PointDetermine Quadrant(s) ConstraintsReference Angles Bonus Question: 5000 pts

Definitions: 200 Question: What is the definition of the tan θ? Answer y/x

Definitions 400 Question: What is the definition of the sin θ? Answer y/r

Definitions 600 Question: What is the definition of the csc θ? Answer r/y

Definitions 800 Question: x/y is the definition of which trigonometric function? Answer Cotangent (cot θ)

Definitions 1000 Question: Which two trigonometric functions involve the r and x? Answer Cosine (cos θ) and Secant (sec θ)

Given point: 200 Question: What is the tan θ given the point ( 5, -3)? Answer -3/5

Given point: 400 Question: What is the cot θ using the point (2, 1)? Answer 2

Given point: 600 Question: What is the sin θ using the point (-3, 4)? Answer 4/5

Given Point: 800 Question: What is the sin θ and csc θ given the point (2, - √3)? Answer Sin θ = - √21/7 Csc θ = - √21/3

Given Point: 1000 Question: What are the sin θ, cos θ, and tan θ, given the point (-2, 2√3)? Answer sin θ = √3/2 cos θ = -1/2 tan θ = - √3

Determine Quadrant(s) : 200 Question: What quadrant does θ lie in if sin θ > 0, and cos θ < 0? Answer 2nd

Determine Quadrant(s) 400 Question: What quadrant does θ lie in if sec θ 0? Answer 3rd

Determine Quadrant(s) 600 Question: Where, if anywhere, do the tan θ and cot θ have the same sign? Answer 1 st, 2 nd, 3 rd, 4 th

Determine Quadrant(s) 800 Question: Where, if anywhere, do the sin θ and the csc θ have opposite signs? Answer NO WHERE!!

Determine Quadrant(s) 1000 Question: Where, if anywhere, do the sin θ, cos θ, tan θ, csc θ, sec θ, and cot θ all have the same sign? Answer 1st

Constraints: 200 Question: If we know that the tan θ = 3/2 and that it lies in the 3 rd quadrant, what is the cot θ? Answer 2/3

Constraints: 400 Question: We are given that the cos θ = 5/8 and we are in the 1 st quadrant. What is the sin θ? Answer √39/8

Constraints: 600 Question: We are given that the sec θ = - 9/4 and we are in the 3 rd quadrant. What is the cot θ? Answer 4√65/65

Constraints: 800 Question: If the tan θ = - 1/ 3 and the cos θ > 0 what is the sin θ and csc θ? Answer sin θ = - √10/10 csc θ = - √10

Constraints: 1000 Question: If the csc θ = - 8/7 and we know that 3π/2 ≤ θ ≤ 2π, what are the sin θ, cos θ, and tan θ? Answer sin θ = -7/8 cos θ = √15/8 tan θ = - 7√15/15

Reference Angles: 200 Question: If θ = 29°, what is the reference angle? Answer 29°

Reference Angles: 400 Question: If θ = - 3π/10, what is the reference angle? Answer 3 π/10

Reference Angles: 600 Question: If θ = 4.9, what is the reference angle? Answer 1.38

Reference Angles: 800 Question: If θ = °, what is the reference angle? Answer 51°

Reference Angles: 1000 Question: If θ = -25π/3, what is the reference angle? Answer π/3

Bonus Question: 5000 Question: If the sec θ is undefined and π ≤ θ ≤ 2π, what are the remaining 5 trig functions? Answer sin θ = -1csc θ = -1 cos θ = 0sec θ = und. tan θ = und.cot θ = 0