Stitz-Zeager_College_Algebra_e-book

Since 0 and 0 sweep out congruent central sectors of

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Unformatted text preview: 7π 3 x 1 π θ = − 54 π π Finding cos − 54 and sin − 54 Finding cos 7π 3 and sin 7π 3 x 10.2 The Unit Circle: Cosine and Sine 619 The reader may have noticed that when expressed in radian measure, the reference angle for a non-quadrantal angle is easy to spot. Reduced fraction multiples of π with a denominator of 6 have π as a reference angle, those with a denominator of 4 have π as their reference angle, and 6 4 those with a denominator of 3 have π as their reference angle.6 The Reference Angle Theorem 3 in conjunction with the table of cosine and sine values on Page 617 can be used to generate the following figure, which the authors feel should be committed to memory. y (0, 1) 1 −2, √ 3 2 √ 2 , 22 2 √ − 3π 4 √ − 31 2 ,2 2π 3 √ 3 1 2, 2 π 2 π 3 √ √ 2 , 22 2 π 4 √ π 6 5π 6 π 31 2 ,2 0, 2π (−1, 0) (1, 0) √ − 3 1 2 , −2 √ 2 , − 22 2 √ − 7π 6 11π 6 5π 4 1 −2, − √ 3 2 4π 3 3π 2 5π 3 7π 4 x √ 3 1 2 , −2 √ 2 , − 22 2...
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