Exam 2 - PreCalc

How to convert from degrees to radians

multiply by π/180°

How to convert from radians to degrees

multiply by 180°/π

How to find the compliment of an angle

Degrees: (given) + _____ = 90°
Radians: (given) + _____ = π/2

How to find the supplement of an angle

Degrees: (given) + _____ = 180°
Radians: (given) + _____ = π

Q1 contains degrees ____ to ___

0° - 90°

Q2 contains degrees ___ to ___

90° - 180°

Q3 contains degrees ___ to ___

180° - 270°

Q4 contains degrees ___ to ___

270° - 360°

How to find coterminal angles

Radians: +2π or -2π
Degrees: +360° or -360°

Cos = _ value

x

Sin = _ value

y

How to find reference angle

Degrees: distance from the given to the closest x-axis
Radians: ALWAYS will be π over denominator

How to determine which quadrant theta lies

The similar quadrant where Cos, Tan, and Sin are either positive or negative

(Trig) Sin =

opp/hyp

(Trig) Cos =

adj/hyp

(Trig) Tan =

opp/adj

(Trig) Cot =

adj/opp

(Trig) Sec =

hyp/adj

(Trig) Csc =

hyp/opp

Which is amplitude?

A

Which is period?

B

Which is phase shift?

C

Which is vertical shift?

D

Tan =

y/x

Csc =

1/sin

Sec =

1/cos

Cot =

cos/sin