MATH 157 Lecture Notes - Trigonometric Functions, Hypotenuse, Central Angle

• School: Simon Fraser University
• Department: Mathematics
• Course: MATH 157
• Professor: Chiaka Drake

Document Summary

Angle terminology: ray initial ray terminal ray vertex clockwise direction, negative angle counterclockwise direction, positive angle standard position quadrants i, ii, iii, and iv coterminal angles central angle arc unit circle. Degree measurement: is the measure of the angle formed by of one complete ____________. Radian measurement: is the measure of the __________ angle subtended by an arc __________ in length to the radius of the circle. Converting degrees to radians: let x be the number of degrees, then f x x radians. Converting radians to degrees: let x be the number of radians, then f x x degrees. Copy from text: 305 about degree radian relationship. Let ( , be a ________ on the circle with radius. , then the angle is as in the diagram and r (0,0) x y opposite hypotenuse adjacent hypotenuse opposite adjacent sine function: cosine function: sin cos tangent function: tan cosecant function: csc secant function: sec cotangent function: cot.