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