Polar Coordinates and Trigonometric Functions

Pre-Calculus Formulas for Polarities and Trigonometric Identities

40 cards | Total Attempts: 188 | Created by alevine540 | Last updated: Sep 17, 2015 | Total Attempts: 188

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X=?

Related Flashcards

Front	Back
X=?	R*cosθ
Y=?	R*sinθ
R²=?	x²+y²
Tanθ=?	Y/x (x≠0)
Symmetry around polar axis	θ=-θ if replaced in polar equation
Symmetry around pole	R=-r if replaced in polar equation
Symmetry around vertical line, θ=π, y-axis	θ=π-θ if replaced in polar equation
Modulus	Absolute Vale of Complex #: z=a+bi lzl=√a²+b²
A=?	R*cosθ
B=?	R*sinθ
Z=?	Rcosθ+ir*sinθ=r(cosθ+isinθ)=a+bi
R=? θ=?	Modulus of z Argument of z
Z₁z₂=?	R₁r₂[cos(θ₁+θ₂) + i*sin(θ₁+θ₂)]
Z₁/z₂=?	(r₁/r₂)[cos(θ₁-θ₂) + isin(θ₁-θ₂)]
DeMoivre's Theorem: zⁿ=?	Rⁿ[cos(nθ) + i*sin(nθ)]