precalculus

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer.
tan θ = − sqrt 3/3

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  1. tanØ = -√3/3

    from the 30-60-90 triangle, you should recognize that tan 30° = 1/√3 = √3/3

    or , using your calculator find tan^1 (√3/3) to get 30°

    but the tangent is negative in II and Iv
    so Ø = 150°
    or Ø = 330°

    check with your calculator, it is correct

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  2. tan(?)=-1/3
    ?=

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