PYTHAGOREAN IDENTITIES - Weebly



Formula Sheet for Final Exam

Pythagorean Identities

sin2θ + cos2θ = 1 cos2θ = 1 – sin2θ

sin2θ = 1 – cos2θ

tan2θ + 1 = sec2θ

cot2θ + 1 = csc2θ

Double Angle Formulas: Area of Triangles:

sin2θ = 2sinθcosθ A = ½ ab sinγ

cos2θ = cos2θ – sin2θ A = ½ bc sinα

cos2θ = 1 – 2sin2θ A = ½ ac sinβ

cos2θ = 2cos2θ – 1

[pic] [pic]

Half-Angle Formulas:

[pic] [pic]

[pic] [pic]

[pic]

Logistic growth functions ( use when you have a limit to growth)

[pic] or [pic]

Limit remember to factor cancel plug in!!

Inverses flip the variables and solve for dependent variable—Domain and Range flip

Vectors

[pic]

Parametric Equations

Path of an object measured by parametric equations

[pic] v0= initial velocity y0= starting height

Polar Equations

[pic]

Conic Sections

Parabola [pic] or [pic] Polar form

Hyperbola [pic] or [pic] [pic]

Ellipse [pic] or [pic] e>1 hyperbola

e =1 parabola

Circle [pic] e < 1 ellipse

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