Trigonometry - Intro Ms. Mougharbel.

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Presentation transcript:

Trigonometry - Intro Ms. Mougharbel

Definitions Radian: a unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius Degree: a unit of measurement of angles, one three-hundred-and-sixtieth of the circumference of a circle. Arc Length: The distance along the arc (part of the circumference of a circle, or of any curve). Sector Area: The part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle

Unit Circle

Formulas Radian  Degree = Radians(180/) Degree  Radian = Degrees(/180) Area of a sector: 𝐴= 𝐴𝑟𝑐 𝐷𝑒𝑔𝑟𝑒𝑒 360 (𝜋 𝑟 2 ) Length of an arc: 𝐿= 𝐴𝑟𝑐 𝐷𝑒𝑔𝑟𝑒𝑒 360 (2𝜋𝑟) For a circle: Arc Length = θ × r. (when θ is in radians) Arc Length = (θ × π/180) × r.