What is the formula for sec(x)?
= 1/cos(x)
What is the formula for cosec(x)?
= 1/sin(x)
What is the formula for cot(x)?
= 1/tan(x)
= cos(x) / sin(x)
What is the formula involving tan(x) and sec(x)?
1 + tan2(x) = sec2(x)
What is the formula involving cot(x) and cosec(x)?
1 + cot2(x) = cosec2(x)
What does the graph of cosec(x) look like?
Asymptotes at ‘pi’ intervals from 0
cosec(x) and sin(x) touch at y = +-1, the turning points
What does the graph of sec(x) look like?
Asymptotes at every ‘pi’ from pi/2
sec(x) and cos(x) touch at y = +-1, its turning points
What does the graph of cot(x) look like?
Asymptotes and values of y=0 for tan(x) swap for cot(x), become decreasing functions
What does the graph of arcsin(x) look like?
Sin(x) reflected in the line y = x
It has the domain -1 < x < 1
It has the range -pi/2 < f(x) < pi/2
What does the graph of arccos(x) look like?
Cos(x) reflected in the line y = x
It has the domain -1 < x < 1
It has the range 0 < f(x) < pi
Y intercept of pi/2
What does the graph of arctan(x) look like?
Tan(x) reflected in the line y = x
It has the domain ‘x’ is real
It has the range -pi/2 < f(x) < pi/2
What is the formula for arc length?
Arc length = r(x)
What is the formula for area of a sector?
Area of a sector = (1/2)(r2)(x)
What are the small angle approximations?
sin x = x
cos x = 1 - 1/2(x2)
tan x = x
