Section+6.5

Inverse Trigonometric Functions I. Inverse Sine Function - y=sin^-1(x) or y=arcsin(x) "y is the inverse sine of x" - means x=siny "y is the angle measure who sine equals x" - where -1<x<1 and -pi/2<y<pi/2

Sine-Inverse Sine Identities - sin(^-1(sinx)=x for -pi/2 < x < pi/2 - sin(sin^-1(x))=x for -1<x<1

II. Inverse Cosine Function - y=cos^-1(x) or y=arccos(x) "y is the inverse of cosine x" - means x=cosy "y is the angle measure whose cosine equals x" - where -1<x<1 and 0<y<pi

Cosine-Inverse Cosine Identities - cos^-1(cosx)=x for 0<x<pi - cos(cos^-1(x))=x for -1<x<1

III. Inverse Tangent Function - y-tan^-1(x) or y=arctanx "y is the inverse tangent of x" - means x=tany "y is the angle measure whose tangent equals x" - where -pi/2 < y < pi/2

Tangent-Inverse Identities - tan^-1(tx)= x for -pi/2 < x < pi/2 - tan(tan^-1x) = x for -infinity<x<infinity