Chapter 4.3: Trigonometric Ratios

Question 1

How do you find the reference angle given an angle?

Answer 1

Calculate for the angle between the terminal arm and nearest x-axis.

Question 2

What are the three sides of a right triangle?

Answer 2

Hypotenuse (H or hyp)
Adjacent (A or adj)
Opposite (O or opp)

Question 3

What are the 3 primary trigonometric ratios?

Answer 3

Sine – Sinθ = opp/hyp
Cosine – Cosθ = adj/hyp
Tangent – Tanθ = opp/adj

Question 4

What are the three secondary trigonometric ratios?

Answer 4

Cosecant – Cscθ = hyp/opp
Secant – Secθ = hyp/adj
Cotangent – Cotθ = adj/opp

Question 5

What is the reciprocal of sinθ

Answer 5

Cosecant - Cscθ

Question 6

What is the reciprocal of cosθ

Answer 6

Secant - Secθ

Question 7

What is the reciprocal of tanθ

Answer 7

Cotangent - Cotθ

Question 8

Cosecant is the reciprocal of which trig ratio?

Answer 8

Sine – Sinθ

Question 9

Secant is the reciprocal of which trig ratio?

Answer 9

Cosine – Cosθ

Question 10

Cotangent is the reciprocal of which trig ratio?

Answer 10

Tangent – Tanθ

Question 11

What is the acronym for the 6 ratios?

Answer 11

A – all
S – students
T – take
C – calculus

Question 12

In which quadrants are the ratios positive? Negative?

Answer 12

All ratios are positive in quadrant I (A)
Sinθ and Cscθ are positive in quadrant II (S)
Tanθ and Cotθ are positive in quadrant III (T)
Cosθ and Secθ are positive in quadrant IV (C)