Trigonometry with The Unit Circle Cited and Colored

Lisää tämän kaltaisia

Trig Project Suazo

luonut Ryan Suazo

ARRAYS

luonut Muhamad fadzil Fadzil

Unit on Trees

luonut Sarah Bull

Mission of the church

luonut karen pacheco

Trigonometry with The Unit Circle

Area of the Sector of a Circle

A=1/2 r2 θ

6 trigonometric functions

Rarely used: -cosecant θ=Hypotenuse/Opposite (reciprocal of sine) -secant θ=Hypotenuse/Adjacent (reciprocal of cosine) -cotangent θ=Adjacent/Opposite (reciprocal of tangent)

Most commonly used: -sine θ=Opposite/Hypotenuse -cosecant θ=Adjacent/Hypotenuse -tangent θ=Opposite/Adajacent

Exact Value vs Approximate Value

Example Exact value: √5 __ 5 Approximate value: .4472

Approximate Value A rounded decimal that is found on a calculator

Exact Value Simplified fractions that can include radicals

Types of Angles

Quadrantal Angle: an angle with its terminal side on the x-axis or y-axis

Picture citation: http://philschatz.com/algebra-trigonometry-book/resources/CNX_Precalc_Figure_05_01_018.jpg

Reference Angle: acute angles formed by the terminal side and the x-axis

Picture citation: http://images.tutorvista.com/cms/images/39/reference-angle.PNG

Coterminal Angles: Angles with the same initial and terminal sides

45 degrees is the coterminal angle of 405 degrees Picture citation: http://www.scienceforums.net/uploads/SAngle.JPG

Radians and Degrees

Picture citation: https://www.wyzant.com/resources/lessons/math/trigonometry/unit-circle/memorizing-coordinates

Radian: One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle. Picture citation: https://www.varsitytutors.com/assets/vt-hotmath-legacy/hotmath_help/topics/radian-measure/radian-measure-image002.gif