Stitz-Zeager_College_Algebra_e-book

Said another way show that f x p f x for all real

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Unformatted text preview: is (f) Use the inequality θ < tan(θ) to show that cos(θ) < θ 2 with the previous part to complete the proof. (e) Use the inequality sin(θ) < θ to show that 15. Show that cos(θ) < sin(θ) π < 1 also holds for − < θ < 0. θ 2 3 16. Explain why the fact that tan(θ) = 3 = 1 does not mean sin(θ) = 3 and cos(θ) = 1? (See the solution to number 6 in Example 10.3.1.) 10.3 The Six Circular Functions and Fundamental Identities 10.3.3 Answers π =1 4 π 2 (b) sec =√ 6 3 1. (a) tan (c) csc 5π 6 =2 4π 3 (h) (i) (j) (m) 3π 2 (n) (f) sec − 2. (a) sin(θ) = is undefined 3 5 4 5 3 tan(θ) = − 4 5 csc(θ) = 3 5 sec(θ) = − 4 4 cot(θ) = − 3 12 (b) sin(θ) = − 13 5 cos(θ) = − 13 12 tan(θ) = 5 13 csc(θ) = − 12 13 sec(θ) = − 5 5 cot(θ) = 12 (k) (l) (c) cos(θ) = − csc(78.95◦ ) ≈ 1.019 tan(−2.01) ≈ 2.129 cot(392.994) ≈ 3.292 sec(207◦ ) ≈ −1.122 π 2 = −√ 3 3 13π =0 cot 2 tan (117π ) = 0 5π =2 sec − 3 csc (3π ) is undefined cot (−5π ) is undefined 31π tan is undefined 2 √ π sec =2 4 24 sin(θ) = 25 7 cos(θ) = 25 24 tan(θ) = 7 25 csc(θ) =...
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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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