1 tan2 sec2 provided cos 0 cot2 1 csc2

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Unformatted text preview: 0◦ .15 Of particular interest is the ◦ fact that an angle which measures 1 in radian measure is equal to 180 ≈ 57.2958◦ . We summarize π these conversions below. Equation 10.1. Degree - Radian Conversion: • To convert degree measure to radian measure, multiply by π radians 180◦ • To convert radian measure to degree measure, multiply by 180◦ π radians In light of Example 10.1.3 and Equation 10.1, the reader may well wonder what the allure of radian measure is. The numbers involved are, admittedly, much more complicated than degree measure. The answer lies in how easily angles in radian measure can be identified with real numbers. Consider the Unit Circle, x2 + y 2 = 1, as drawn below, the angle θ in standard position and the corresponding s s arc measuring s units in length. By definition, the radian measure of θ is r = 1 = s so that, once again blurring the distinction between an angle and its measure, we have θ = s. In order to identify real numbers with oriented angles, we make good use of this fact by essentially ‘wrapping’ the real number...
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This note was uploaded on 05/03/2013 for the course MATH Algebra taught by Professor Wong during the Fall '13 term at Chicago Academy High School.

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