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Unformatted text preview: est degree, will the rod make with the wall?
23. A parasailor is being pulled by a boat on Lake Ippizuti. The cable is 300 feet long and the
parasailor is 100 feet above the surface of the water. What is the angle of elevation from the
boat to the parasailor? Express your answer using degree measure rounded to one decimal
place. 724 Foundations of Trigonometry 24. Rewrite the given functions as sinusoids of the form S (x) = A sin(ωx + φ) using Exercises
3 and 4 in Section 10.5 for reference. Approximate the value of φ (which is in radians, of
course) to four decimal places.
(a) f (x) = 2 sin(x) − cos(x)
(b) g (x) = 5 sin(3x) + 12 cos(3x)
25. Discuss with your classmates why arcsin 1
2 = 30◦ . 26. Use the following picture to show that arctan(1) + arctan(2) + arctan(3) = π .
y D(2, 3) A(0, 1)
αβ γ O(0, 0) B (1, 0) x C (2, 0) (a) Clearly AOB and B CD are right triangles because the line through O and A and
the line through C and D are perpendicular to the x-axis. Use the distance formula to
show that B AD is also a right...
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