Stitz-Zeager_College_Algebra_e-book

5 graphs of the trigonometric functions i y sin x 2 4

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Unformatted text preview: 24 25 sec(θ) = 7 7 cot(θ) = 24 √ − 48 sin(θ) = 7 1 cos(θ) = 7√ tan(θ) = − 48 7 csc(θ) = − √ 48 sec(θ) = 7 1 cot(θ) = − √ 48 (g) csc − 1 =√ 3 1 11π =√ (e) tan − 6 3 (d) cot 3. (a) (b) (c) (d) 653 (d) (e) (f) (g) (h) (o) csc − 7π 4 = √ √ 2 (p) cot 7π 6 = (q) tan 2π 3 √ =− 3 3 (r) sec (−7π ) = −1 (s) csc π 2 (t) cot 3π 4 =1 = −1 √ 91 (e) sin(θ) = − 10 3 cos(θ) = − √10 91 tan(θ) = 3 10 csc(θ) = − √ 91 10 sec(θ) = − 3 3 cot(θ) = √ 91 1 (f) sin(θ) = √ 530 23 cos(θ) = − √ 530 1 tan(θ) = − √ 23 csc(θ) = 530 √ 530 sec(θ) = − 23 cot(θ) = −23 csc(5.902) ≈ −2.688 tan(39.672◦ ) ≈ 0.829 cot(3◦ ) ≈ 19.081 sec(0.45) ≈ 1.111 654 Foundations of Trigonometry (b) (c) (d) (e) √ π + kπ for any integer k 3 π 5π sec(θ) = 2 when θ = + 2kπ or θ = + 2kπ for any integer k 3 3 3π csc(θ) = −1 when θ = + 2kπ for any integer k . 2 √ 3 π cot(θ) = when θ = + kπ for any integer k 3 3 tan(θ) = 0 when θ = kπ for any integer k 4. (a) t...
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