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period formula
2π/b (pi/B for tanx)
angular speed formula
w = radians/time
linear speed formula
v = r * w
vertical asymptotes for tangent functions
The vertical asymptotes for tangent functions occur at odd multiples of π/2, specifically at x = (2n + 1)π/2, where n is an integer.
x-intercepts for tangent functions
The x-intercepts for tangent functions occur at integer multiples of π, specifically at x = nπ, where n is an integer.
law of sines formula
sinA/a = sinB/b = sinC/c
law of cosines formula
c² = a² + b² - 2ab cosC
csc theta =
1/sin(theta)
sec theta =
1/cos(theta)
tan theta =
sin(theta)/cos(theta)
cot theta =
cos(theta)/sin(theta)
pythagorean identities
sin² theta + cos² theta = 1
tan² theta +1 = sec² theta
cot² theta +1 = csc² theta
General Form y=A*f(B(x-c))+D
A: multiply y-coordinate by A; vertical stretch/compression
B: divide x-coordinate by B or multiply by reciprocal of B; horizontal stretch/compression
C: add c to x-coordinate
D: add D to y-coordinate