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Equation Solving Strategies and Solutions for Trig Functions

Learn various strategies for solving equations involving trigonometric functions, including factoring, using the quadratic formula, and checking for extraneous solutions. Practice exercises included.

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Equation Solving Strategies and Solutions for Trig Functions

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  1. 5.3a: Class Notes same as book SEE • Pg 390 – 392 • Examples 1, 2, 3, 5

  2. 5.3a: #1-5 odd, 8, 9, 15-16, 27, 45-55 odd

  3. ET: 5.3b Brainstorm at least 3 strategies used in solving equations. Undo the order of operations. What you are looking for on one side, everything else on the other. Solving Equations Y1= Turn everything into the same trig function Everything on one side = 0 Factor Set Each Piece = 0 Quadratic Formula

  4. Find all the solutions ofin the interval

  5. Find all the solutions ofin the interval x Because you squared the original, check for extraneous solutions.

  6. Directions are generic! Solve 2cos u – 1 = 0 Let u = 3t cos u = 1/2 cos u =1/2 u = u =

  7. ( ) > 0 Denominator = 0 Radicand > 0 Logs Fractions Even Roots “Domain Issues” When do you have to check your work? Warning: Don’t divide both sides of an equation be something containing a variable because you can lose solutions. Square both sides

  8. Assignments 5.3 5.3b: 17-25, 30, 35-37, 45, 59 Fudge 66

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