Trigonometry & Periodic Functions
What is the pattern called in periodic functions?
cycle
WHat is the length of a periodic cycle called?
period
What is the midpoint of a periodic function called?
Axis
What is the distance between the midpoint and max or min called?
Amplitude
What is the equation for a sine function?
y=asin(k(x-d))+c
What is the equation for a cosine function?
y=acos(k(x-d))+c
What is a?
amplitude
What is k?
360/period
What is d?
phase shift
What is c?
axis
What does the cycle of a cosine function start on?
max
What does the cycle of a sine function start on?
axis
What is the redistributed form for sine law to find a side?
a=bsinA/sinB
What is the redistributed form of sine law to find an angle?
A=sin^-1(asinB/b)
What is sine law to find a side?
a/sinA = b/sinB = c/sinC
What is sine law to find an angle?
sinA/a = sinB/b = sinC/c
What is cosine law to find a side?
a^2 = b^2+c^2 -2bc(cosA)
What is cosine law to find an angle?
cosA = a^2-b^2-c^2 / -2bc
What should you use if you have two angle-side pairs in an oblique triangle?
sine law
What should you use to find a side if you have two sides and the opposing angle in an oblique triangle?
cosine law
What should you use to find an angle if you have all sides of an oblique triangle?
cosine law