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Lambda Terms

PreCalc Lambda Terms

QuestionAnswer
Central angle an angle whose vertex lies at the center of the circle
Fact if two central angles in different circles are congruent, the ratios of the lengths of their intercepted arcs is equal to the ratio of the measures of their radii
Length of an arc the length of circular arc s, is equal to the product of the measure of the radius of the circle r, and the radian measure of the central angle 0, that subtends s = r0
sector a region in circle bounded by a central angle and its interrupted arc
area of a circular sector if 0 is the measure of the central angle expressed in radians and r is the measure of the radius of the circle, then the area of the sector A, is A = 1/2r^20
definition of sine the y-coordinate of a point on the unit circle
definition of cosine the x-coordinate of a point on the unit circle
circular function a function defined using a unit circle
sine and cosine functions of an angle in standard position for any angle in standard position with measure 0, a point p(x,y) on its terminal side and r= the square root of x squared and y squared. sine= y/r cosine=x/r
trigometric functions of an angle in standard position sin0=y/r cos0=x/r tan0=y/x csc0=r/y sec0=r/x cot0=x/y tan0=sin0/cos0 csc0=1/sin0 sec0=1/cos0 cot0=1/tan0
solve a triangle find all the measures of the sides and angles of a triangle
apothem in a regular polygon, this is a measure of a line segment from the center of a polygon to the midpoint of one of its sides
angle of elevation this angle starts at a horizontal line and elevates to the line of sight
angle of depression this angle starts at a horizontal line and depresses to the line of sight
law of sines let triangle abc be any triangle with a,b, and c representing the measures of the sides opposite the angles with measures a,b, and c respectively. a^2=b^2+c^2-2bc cosA
Heros formula K=the square root of s(s-a)(s-b)(s-c)
segment of a circle the region bounded by an arc and its chord
area of a circular segment S=1/2r^2 (a-sin a)
Created by: rroth