MAC1147 Study Guide - Final Guide: Polar Coordinate System, Hyperbolic Function, Scalar Multiplication

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Provide a generalization to each of the key terms listed in this section. What are the notations when dealing with the pythagorean theorem? x2 + y2 = r2 a2 + b2 = c2 r2 = r2 r2 x2 r2 + y2 r(cid:1)2 r(cid:1)2. +(cid:0) y (cid:0) x c2 + b2 a2 c2 = c2 c2. = 1 sin2 ( ) + cos2 ( ) = 1 c(cid:1)2 (cid:0) a c(cid:1)2. Quadrant of sin cos tan csc sec cot . P ositive n egative n egative p ositive n egative n egative. N egative p ositive n egative n egative p ositive n egative. Equalivant sin(x) sin (x) = 1 csc(x) cos(x) cos (x) = 1 sec(x) tan(x) tan (x) = 1 cot(x) csc(x) csc (x) = 1 sin(x) sec(x) sec (x) = 1 cos(x) cot(x) cot (x) = 1 tan(x)