Pre calc

Evaluate by using the Pythagorean identities

Find sin θ and cos θ if tan θ=1/6 and sin θ >0

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  1. tan = sin / cos ... cos = 6 sin

    sin^2 + cos^2 = 1 ... 37 sin^2 = 1

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  2. tanθ and sinθ are both positive only in QI

    Draw your standard triangle. You have
    y = 1
    x = 6
    r = √37

    tanθ = y/x
    sinθ = y/r
    cosθ = x/r

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