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The tangent Function

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  1. The tangent Function Today’s Objective: I can find exact values and graph the tangent function.

  2. Tangent of θ or SOH CAH TOA y (0, 1) 1 x (-1, 0) (1, 0) = Slope (0, -1)

  3. y (0, 1) 210o 30o - 30o x (-1, 0) (1, 0) (0, -1)

  4. y (0, 1) 60o - 60o x (-1, 0) (1, 0) (0, -1)

  5. y (0, 1) 45o - 45o x (-1, 0) (1, 0) (0, -1)

  6. y (0, 1) x (-1, 0) (1, 0) (0, -1)

  7. y (0, 1) Domain: Range: Period: x All real #s except odd multiples of (-1, 0) (1, 0) All Real #s π (0, -1)

  8. Graphing Tangent Functions Period = Asymptotes = ; then end of each period. a = vertical stretch Sketch the graph of: Graphing: Determine period & graph asymptotes Graph middle points Graph halfway points:between asymptotes & middle pointVertical distance a and – a Period: Asymptote:

  9. Graphing Tangent Functions Pg. 872 #9-25odds, 30-32,44-46 Period = Asymptotes = ; then end of each period. a = vertical stretch from -2π to 2π Sketch the graph of: Graphing: Determine period & graph asymptotes Graph middle points Graph halfway points:between asymptotes & middle pointVertical distance a and – a Period: Asymptote

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