Review: Trigonometic Functions

Trigonometic Funtions Part 1



Radian Measures

• 2radians = 360 degrees, radians = 180 degrees
• to convert degrees to radians, multiply degree by (/180)
• to convert radians to degrees, multiply radians by (180/)

Special Angles

• you can use the unit circle to solve
• use special angles with unit circle

Equivalent Trigonometric Expressions

• use the cofunction identity sinx = cos (/2 - x) to determine equivalent trigonometric expressions

Compond Angle Formula

• apply equivalent trigonometric expressions to compund angle formula
• determine exact trigonometric ratios for angles expressed as sums or differences or special angles

Identities

• treat each side independantly and transform expression on one side into exact form of the other

Trigonometric Functions Part 2

Sine, Cosine, and Tan Graphs

• y=sinx and y=cosx graphs have amplitude of 1 and a period of 2 and can be transformedy=tanx has no amplitude and no maximum or minimum

Reciprocals

• reciprocals are different from it's inverse
• csc means 1/sinx
• sec means 1/cosx
• cot means 1/tanx

Mapping Rule

• g(x) = af [k(x-d)] + c
• a represents amplitude
• d represents phase shift
• c respresents vertical translation

Period

• 2/k

Amplitude

• max - min / 2