616 CHAPTER 6 Trigonometric Identities, Inverses, and Equations 6-74 6-75 the slant height o height of the con a sculpture exhit constructing thre -)- Using any appropriate method to solve. 37. sec x cos -1 V2 31. cos x – sin x = x )esc x = V3 TT 38. sin structures each of 2 m and a sla 3 m. (a) Find th the sculptures i deflection is a (b) What angle the volume of 32. 5 sec?x - 2 tan x - 8 = 0 1 – cos?x 33. V3 --)- TT 39. secʻx tan =D4 %3D tan'x 34. 5 csc?x - 5 cot x - 5 = 0 V3 %3D * )sin*x 40.2 tan - x sin?x %3D sinx 2. X. V2 35. csc x + cot x = 1 36. %3D cot'x is 12 m3? 45. River discha the discharge (Veneznela) WORKING WITH FORMULAS 41. The equation of a line in trigonometric form: V3 4V3 +x- 3 D(t) == 36 s I. D - x cos y 3= Exercise 41 the moaths sin 0 Liy = V3x June, end D 42. Rewriting y = a cos x + b sin x as a single function: y = k sin(x + 0) The trigonometric form of a linear equation is given by the formula shown, where D is the perpendicular distance from the origin to the line and 0 is the angle between the perpendicular segment and the x-axis. For each pair of perpendicular lines given, (a) find the point (a, b) of their intersection; (b) compute the distance per second September discharge %3D Linear terms of sine and cosine can be rewritten as a single function using the formula shown, where k = Va² + b² and 0 = sin D. Source: Glob www.rivdis.s х Rewrite the 46. River dis %3D the avera equations given using these relationships and verify they are equivalent using the GRAPH O River (C D(t) 2nd GRAPH TABI E feature of a graphing 2. 887
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