Pythagorean Identities
Introduction
Introduction
The 3 Pythagorean Identities are:
The 3 Pythagorean Identities are:
sin2 θ + cos2 θ = 1
sin2 θ + cos2 θ = 1
1 + tan2 θ = sec2 θ
1 + tan2 θ = sec2 θ
1 + cot2 θ = cosec2 θ
1 + cot2 θ = cosec2 θ
Explore!
Explore!
Use the applet below to visualise the proof for the 3 Pythagorean Identities.
Use the applet below to visualise the proof for the 3 Pythagorean Identities.
Move the Blue Dot to change the size of angle θ.
Move the Blue Dot to change the size of angle θ.
Next set of Identities: The Addition Angle Formulas
Next set of Identities: The Addition Angle Formulas