Angles and Radian Measure
Linear Speed
1) Find radius 2) convert rev. per sec./min. by multiplying the # by 2Pi 3) Then take the new converted number times the radius
Arc Length
Length = radius * angle
Converting Radians to Degrees
Multiply by 180/π.
Finding the missing measure of a triangle with 2 measures.
Pythagorean Theorem = a squared +b squared = c squared
Finding a side of the triangle with just 1 measure and the angle.
SOH CAH TOA -Sine = Opposite over Hyp. -Cosine = Adjacent over Hyp. -Tangent = Opposite over Adjacent
Converting Degrees to Radians
Set the degrees over 1. Multiply Pi/180. Simplify Ex. 30/1 * Pi/180 30Pi/180 = Pi/6
Trig Functions (Names)
Sine ----> Cosecant Cosine ----> Secant Tangent ----> Cotangent
Which Trig functions are positive
cos (-t) and sec (-t)
Reciprocal Identities
sin = 1/csc t ----> csc t = 1/sin t cos t = 1/sec t ----> sec t = 1/cos t tan t = 1/cot t ----> cot t = 1/tan t
Cofunctions
sin = cos (90-angle(theta) tan = cot (90-angle(theta) and vise versa sec = csc (90-angle(theta)
Finding Trig Functions of Any Angle (Not a circle) Plus r equation
sin = y/r ----> csc = r/y cos = x/r ----> sec = r/x tan = y/x ----> cot = x/y r = square root of x squared + y squared
Trig Functions
sin t= y csc t= 1/y cos t= x sec t= 1/x tan t= y/x cot t= x/y