Step {{currentStep}} of {{totalSteps}}
The Origin Story
Drag the point around the circle to visit all 4 quadrants. Watch how the sides of the triangle relate to the radius.
Q1
Q2
Q3
Q4
+
=
1.00
New Identities
Divide the main identity to find new ones. Drag to build the resulting equations.
Divide by
+
=
+
1
=
Divide by
+
=
1
+
=
Find the Missing Value
Tap to select the correct quadrant to determine the sign.
If
and is in Quadrant {{['I','II','III','IV'][step3State.quad-1]}},
find .
Using :
Select the final sign:
Correct!
Tap Quadrant {{['I','II','III','IV'][step3State.quad-1]}}
In Quadrant {{['I','II','III','IV'][step3State.quad-1]}}, {{step3State.targetFunc}} is {{step3State.targetSign === '+' ? 'positive' : 'negative'}}.
Simplify the Expression
Tap to transform the expression using identities until it is fully simplified.
🎉
Master of Identities!
You've explored the origin, built new forms, found missing values, and simplified expressions using the Pythagorean Identity.