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Solving Trig Equations

ALWAYS work with 1 st Quad then translate. 90 o. S. A. 0 o. 180 o. C. T. 270 o. 180 o - x o. x o. 180 o + x o. 360 o + x o. CAST diagram. Exact Values. Solving Trig Equations. Example. B. A. 0.4. Solve: tanx o + 1 = 0 . θ. tanx o = -1 . x o = tan -1 (1) .

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Solving Trig Equations

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  1. ALWAYS work with 1st Quad then translate 90o S A 0o 180o C T 270o 180o - xo xo 180o + xo 360o + xo CAST diagram Exact Values Solving Trig Equations Example B A 0.4 Solve: tanxo + 1 = 0 θ tanxo = -1 xo = tan-1 (1) Find x coordinates for A and B xo = 45o sinxo = 0.4 xo = sin-1 (0.4) Solution : xo = 180o - 45o = 135o xo = 23.6o xo = 360o - 45o = 315o xo =180o - 23.6o = 156.4o

  2. 90o A S 180o 0o C T 270o Solving Trig Equations Graphically what are we trying to solve   Example 5 Type 4 : Solving the equation cos2x = 1 in the range 0o to 360o cos2 xo = 1 cos xo = ± 1 cos xo = 1 xo = 0o and 360o cos xo = -1 xo = 180o created by Mr. Lafferty

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