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Simplify: tan QUOTE  sin QUOTE   + cos QUOTE   Find the exact values of the following (NO CALCULATOR). 14. cos(sin-1 (-2/7)) = _____ 15. sin(tan-1 ) = _____ 16. cos(sin-1 2/x ) = _____ Prove the following equations (NO CALCULATOR): 17. sin x + cos x cot x = csc x 18. sec x cos x = sinx tan x 19. (1 + sin  QUOTE  )2 = 2(1 + sin  QUOTE  ) cos2  QUOTE   20. cos4 x sin4 x = cos2 x sin2 x 21.  QUOTE   22. tan x (sin x + cot x cos x ) = sec x Solve the following equations (NO CALCULATOR): 23. sec x + tan2 x = -1 24. 4cos x sin2 x 3cos x = 0 25. 2cos4 x 3cos2 x + 1 = 0 Graph the following trig functions (NO CALCULATOR): 26. y = 2sec x + 1 27.  EMBED Equation.3  28. An object moves in simple harmonic motion described by the equation EMBED Equation.3 , where t is measured in seconds and d in centimeters. Find the following: A) the maximum displacement B) the frequency C) the time required to complete one cycle 29. An object is attached to a coiled spring. 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