P3 Trig Flashcards
Inverse functions
a function that “reverses” another function
e.g. cos-1(x)
Reciprocal functions
1 / function
Relationship between inverse and reciprocal functions
none
they are completely different
arccos(x) =
cos-1(x)
arcsin(x) =
sin-1(x)
arctan(x) =
tan-1(x)
sec(x) =
1 / cos(x)
cosec(x) =
1 / sin(x)
cot(x) =
1 / tan(x) or cos(x) / sin(x)
cos^2(x) + sin^2(x) =
1
1 + tan^2(x) =
sec^2(x)
1 + cot^2(x) =
cosec^2(x)
sin2A =
2sinAcosA
cos2A =
cos^2 - sin^A
tan2A =
2tanA / 1 - tan^2A
cos(A + B) =
cosAcosB - sinAsinB
sin(A - B) =
sinAcosB + cosAsinB
cos(A - B) =
cosAcosB + sinAsinB
sin(A + B) =
sinAcosB - cosAsinB
tan(A + B) =
tanA + tanB / 1 - tanAtanB
tan(A - B) =
tanA - tanB / 1 + tanAtanB
sin(2A) =
2sinAcosA
cos(2A) =
cos^2 + sin^2
1 - 2sin^2A
2cos^2A -1
tan(2A) =
2tanA / 1 - tan^2A