Stitz-Zeager_College_Algebra_e-book

The object passes through the equilibrium point

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Unformatted text preview: s long as we use − , 0 ∪ 0, as the range 2 2 of f (x) = arcsec(x). 13. Show that arccsc(x) = arcsin of f (x) = arccsc(x). 14. Show that arcsin(x) + arccos(x) = 15. If sin(θ) = π for −1 ≤ x ≤ 1. 2 x π π for − < θ < , find an expression for θ + sin(2θ) in terms of x. 2 2 2 10.6 The Inverse Trigonometric Functions 723 x π π 1 1 for − < θ < , find an expression for θ − sin(2θ) in terms of x. 7 2 2 2 2 x π 17. If sec(θ) = for 0 < θ < , find an expression for 4 tan(θ) − 4θ in terms of x. 4 2 16. If tan(θ) = 18. Solve the following equations using the techniques discussed in Example 10.6.7 then approximate the solutions which lie in the interval [0, 2π ) to four decimal places. 7 11 2 cos(x) = − 9 sin(x) = −0.569 cos(x) = 0.117 sin(x) = 0.008 359 cos(x) = 360 tan(x) = 117 cot(x) = −12 3 2 (a) sin(x) = (i) sec(x) = (b) 90 17 √ (k) tan(x) = − 10 (c) (d) (e) (f) (g) (h) (j) csc(x) = − (l) sin(x) = 3 8 7 16 (n) tan(x) = 0.03 (m) cos(x) = − 19. Find the two acute angles in the right triangle whose sides ha...
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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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