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6.1 Solving Trigonometric Equations Recall: Adding and subtracting like terms! Feb 109:40 AM Solve some equations: Find ALL degree solutions: 1. 2 cos θ = 1 Feb 109:42 AM 1 You try: Find ALL degree solutions: 1. 2 tan θ + 2 = 0 Feb 109:45 AM A little harder: Find all RADIAN solutions in [0, 2 π] for Nov 62:43 PM 2 Find all degree solutions: 4 cos θ 1 = 3 cos θ + 4 Feb 109:52 AM Recall Zero Product Property: Solve and find ALL radian solutions between [0, 2 π] (cos x 1)(2 cos x 1)= 0 Feb 109:48 AM 3 Find all degree solutions: tan θ 2 cos θ tan θ = 0 Feb 109:53 AM Example: Find all radian solutions. Feb 109:47 AM 4 Sometimes the problems don't factor nicely. If it is a quadratic, • use the quadratic formula to solve for the function • then use the inverse function to find the reference angle • use the reference angle to get the final answers in the appropriate quadrants Example: 1 4 cos Solve for all radian solutions: A = 2cos 2 A Nov 710:39 AM Feb 109:55 AM 5