Quiz 1) Fill in the sides lengths for the following triangle (and label them hyp, opp, adj): 30º 2) Find the compliment, supplement, and 2 coterminal angles.

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Presentation transcript:

Quiz 1) Fill in the sides lengths for the following triangle (and label them hyp, opp, adj): 30º 2) Find the compliment, supplement, and 2 coterminal angles for an angle that is 62.5º 1 2 OPP HYP ADJ Compliment – 27.5, supplement – 117.5, coterminals and

You can also measure angles in radians. One radian is the measure of an angle in standard position whose terminal side intercepts an arc of length r. Since the circumference of a circle is 2πr, there are 2π radians in a full circle. Degree measure and radian measure are therefore related by the following: 360º = 2π radians r r one radian

Conversion Between Degrees and Radians Use the Proportion:  You plug in either the degree or radians that you are given and cross multiply to get the answer

Examples: Change each in radians a.240º b. 135º

Examples: Change each in radians a.240º b. 135º What does this mean?  It means that in the first case 240º is equal to radians  And in the 2 nd case 135º is equal to radians

Examples: Rewrite each in degrees a.5π 8 Be careful with the multiplications

Examples: Rewrite each in degrees a.2π 3

The most common conversions We will add several more to this chart next class so leave some room