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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