Trigonometry, 1.0: Students understand the notion of angle and how to measure it, in both degrees and radians. They can convert between degrees and radians.

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Presentation transcript:

Trigonometry, 1.0: Students understand the notion of angle and how to measure it, in both degrees and radians. They can convert between degrees and radians. Trigonometry 2.0: Students know the definition of sine and cosine as y- and x-coordinates of points on the unit circle and are familiar with the graphs of the sine and cosine functions.

1. Students will be able to manipulate a unit of measure from radian to degree and vice versa. 2. Students will be able to solve for the length of an arc given the measure of the central angle. 3. Students will be able to calculate the area of a sector.

Changing Radians to Degrees Changing Degrees to Radians

Change 240  to radian measure in terms of .

Given a central angle of 225 , find the length of its intercepted arc in a circle of radius 4 centimeters. Round to the nearest tenth.

Summary What three things did you learn today? Earth rotates on its axis once every 24 hours. What is the time, in hours, it will take for the Earth to rotate through an angle of 300 degrees? 6.1 Angles and Radian Measure pg348#(17-51 odd, EC). Problems not finished will be left as homework. Homework