Stitz-Zeager_College_Algebra_e-book

43 f and the average temperature on september 15th to

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Unformatted text preview: c (−1) 722 Foundations of Trigonometry 10. Find the exact value of the following or state that it is undefined. 7π 6 7π sin arcsin 6 π arccos cos − 4 2π arcsin sin 3 3π arctan tan 4 cos (arccos (π )) sec (arccos (0)) √ 3 tan arcsin 2 (a) arcsin sin (j) csc arccos − (b) (k) sin arcsin (c) (d) (e) (f) (g) (h) (i) cos arctan 3 5 (l) cos 2 arccos (m) sin 1 arctan 2 (n) tan arcsin − (o) cos 3 4 5 13 1 arcsin 2 − arctan − 24 7 3 7 5 12 4 5 + arccos 12 13 28 53 (p) sin 2 arccos − 24 25 11. Rewrite the following as algebraic expressions of x and state the domain on which the equivalence is valid. (a) (b) (c) (d) (e) (f) (g) sin (arccos (x)) cos (arctan (x)) tan (arcsin (x)) sec (arctan (x)) csc (arccos (x)) sin (2 arctan (x)) sin (2 arccos (x)) 12. Show that arcsec(x) = arccos (h) cos (2 arctan (x)) (i) sin (arcsin(x) + arccos(x)) (j) cos (arcsin(x) + arctan(x)) (k) tan (2 arcsin(x)) (l) sin 1 arctan(x) 2 π π ∪ , π as the range 2 2 1 x for |x| ≥ 1 as long as we use 0, 1 x π π for |x| ≥ 1 a...
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