ALWAYS work with 1st Quad then translate

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Presentation transcript:

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

Solving Trig Equations Graphically what are we trying to solve C A S T 0o 180o 270o 90o   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