DE PRE-CALC: Final Exam

converting radians to degrees

multiply by 180/pi

converting degrees to radians

multiply pi/180

find coterminal angle

±360 or ±2pi

find reference angle

find which x-axis is the closest and add/subtract that number to your value

arclength formula

s=rθ

sin is equivalent to

the y value

cos is the equivalent to

the x value

amplitude

the height from the midline to the peak

midline

add the lowest and highest values of the function and divide by two.

period

how long it takes for a graph to repeat itself, 2pi/b

increments

period/4

which graph hits the y axis, csc or sec?

sec

in acos(b(x-c))+d , a represents the

amplitude

in acos(b(x-c))+d , b represents the

the frequency or period of the graph , use it to find the period

in acos(b(x-c))+d , c represents the

phase shift

in acos(b(x-c))+d , d represents the

midline

law of sines only works with

ASA, AAS, SSA (special case)

law of sines

sinA/a = sinB/b

law of cosines only works for…

SAS, SSS

sin =

1/csc

cos =

1/sec

tan =

1/cot

tan (tan identities) =

sin/cos

cot (tan identities) =

cos/sin

csc =

1/sin

sec =

1/cos

cot =

1/tan

sin²+cos²=

1

1+cot² =

csc²

1+tan² =

sec²

for sin/cos/sec/csc, to get all solutions,

add 2pin at the end

for tan/cot, to get all answers…

add on pi(N)

a negative y value…

moves the point clockwise

a negative x value…

flips the point along the line

to convert polar coordinates to Cartesian,

(rcosθ,rsinθ)