Inverse Trig Explorer | MrWittman.com

Original trig graph restricted sine

Inverse graph reflection across y = x

full original relation allowed original branch inverse function current point

y = sin⁻¹(x)

Original restricted domain

Original output range

Inverse domain

Inverse range

Pick an input angle θ on the allowed branch

Explore displaytoggle teaching layers

Start with a many-to-one trig graph.

Choose one branch that passes the horizontal line test.

Swap x and y to make the inverse.The original point becomes the inverse point . That is why the inverse domain and range are the original range and domain.

Quick check