Precalc Unit 1 Test

What trig functions are positive in quadrant I

All

What trig functions are positive in quadrant II

Sin, csc

What trig funcitons are positive in quadrant III

Tan, cot

What trig functions are positive in quadrant IV

Cos, sec

How is terminal ray graphed

To graph theta: positive x-axis moves to angle 

Reference angle

terminal ray to nearest x axis 

Coterminal angle

± 360 or pi

Trig functions of coterminal angles are

the same values (sin360=sin720)

Degrees to radians

x pi/180

Radians to degrees

x 180/pi

How to convert degrees to DMS

take decimal (minutes) x 60, take decimal (seconds) x 60

How to convert DMS to degrees

Degree + Minutes/60 + seconds/3600

What do we have to remember when there is a negative in DMS

It isn’t factored into calculations — ignore it and just put it on the final answer

Arc Length

x/180(pi)r or xr

Sector Area

x(pi)(r²)/360 or x(r²)/2

Angular Speed formulas:

Angle/time or linear speed/radius

Linear speed formula

distance/time or arc length/time or radius x angular speed

How to get period from sin/cos equation

2pi/b

How get b based on period in graph sin/cos

b = 2pi/x

How to get vertical asymptote

(____) = (quadrantal angle=0) + pi(n), n E Z