Chapter 6 Formulas
Pythagorean Identities:
sin2 t + cos2 t = 1
tan2 t + 1 = sec2 t
1 + cot2 t = csc2 t
Periodicity Identities:
sin(t + 2) = sin t
cos(t + 2) = cos t
tan(t + ) = tan t
Negative Angle Identities:
sin(-t) = -sin t
cos(-t) = cos t
tan(-t) = -t
sin x
cos x
cot x
cos x
sin x
Quotient Identities
tan x
Reciprocal Identities
sin x
Periodicity Identities
sinx 2 sin x
cosx 2 cos x
cscx 2 csc x
secx 2 sec x
tanx tan x
cot x cot x
1
csc x
1
csc x
sin x
Pythagorean Identities
Negative Angle Identitie
Chapter 3 Formulas
Transformation form: f(x) = a(x h)2 + k
The vertex is (h, k).
x-intercepts are h
k
a
h
and
k
a
y-intercept is f(0) = ah2 + k
Polynomial form: f(x) = ax2 + bx + c
Find the x-intercepts by using the quadratic formula or factoring.
Find t