770 CHAPTER 7 Trigonometric Identities and Equations 29. Solve each equation for exact solutions. (a) arcsin x = arctan 4 3 (b) arccot x + 2 arcsin 23 2 = p 30. (Modeling) Upper Harmonics Pressures Suppose that the E key above middle C is played on a piano, and its fundamental frequency is ƒ1 = 330 Hz. Its associated pressure is expressed as P1 = 0.002 sin 660 pt. The pressures associated with the next four frequencies are P2 = 0.002 2 sin 1320pt, P3 = 0.002 3 sin 1980pt, P4 = 0.002 4 sin 2640pt, and P5 = 0.002 5 sin 3300pt. Duplicate the graph shown below of P = P1 + P2 + P3 + P4 + P5. Approximate the maximum value of P to four significant digits and the least positive value of t for which P reaches this maximum. −0.005 0.005 0 0.0062 For x = t, y6 = P1 + P2 + P3 + P4 + P5 = P
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