Make it One-to-One

To create an inverse function, must pass the horizontal line test.
Drag the handles to restrict the domain to the principal range.

check_circle drag_pan Domain:

Find the Principal Angle

Evaluate .
Tap the point in the restricted domain with the same sine (height).

Outside restricted domain or wrong value!

check_circle Correct!

Set up the Triangle

Let .
Drag the side lengths to their correct positions.

θ
Adj
{{ step3State.adjVal }}
Hyp
{{ step3State.hypVal }}
{{ item.val }}

Solve the Composite

Find the exact value of .
Tap numbers to build the final tangent ratio.

{{gameData.step3.adj}} {{gameData.step3.hyp}} ?
=
Opp {{ step4State.num }}
Adj {{ step4State.den }}
workspace_premium

Mastered!

You successfully navigated restricted domains, equivalent angles, and composite trig functions!

{{ dragState.item.val }}