Analytic Geometry

absolute value algebraic curve analytic geometry arcsin arctan average points axis B₁ called completing the square conic coordinate axes coordinate system corresponding cos² d₁ d₂ defined denote determined direction cosines direction numbers directrix Draw the graph drawn ellipse equa equal equation x² equidistant Example Figure Find the coordinates Find the equation formula given equation given points hyperbola hyperbolic functions intersection l₁ length locus loga logarithms mid-point natural logarithm negative obtained origin P₁ pair parabola parallel parametric equations perpendicular point moves point x,y polar coordinate system polar coordinates positive number Prob radians rational numbers real numbers rectangular coordinates result satisfy the equation segment Show shown in Fig sin² sine Sketch the graph slope solve square surface tangent theorem tion triangle undirected distance vertex vertical asymptotes x-axis xy-plane y-axis y-intercept Y₁ zero