calculus

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.)
tan θ = −square root of 3

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asked by Sagar
  1. If you are studying Calculus, you should make an effort to memorize the ratios of two important triangles:

    1. the 45-45-90 degree triangle, with sides
    1 : 1 : √2 corresponding to the angles

    2. the 30-60-90 degree triangle, with
    sides
    1 : √3 : 2

    so in this case
    if tan θ = +√3 then θ = 60°

    but the tangent is negative in quadrants II or IV
    so θ = 120° or θ = 300°

    you should also know that
    120° = 2π/3, and 300° = 5π/3

    You did not state if you want the anser in degrees or in radians.

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    posted by Reiny

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