Anonymous
Anonymous asked in Science & MathematicsMathematics Β· 1 month ago

if p(-.6, -.8) is a point on the unit circle in the figure above, what is the exact value of tan(theta)+sin(theta)?

The circle is in the details. thanks

Attachment image

3 Answers

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  • 1 month ago

    opp = y = -0.8

    adj = x = -0.6

    hyp = Β 1 ( since it's a unit circle)

    Tan 𝜽 = opp/adj

    Tan 𝜽 = (-0.8) / (-0.6)

    Tan 𝜽 = 4/3 <–––––

    Sin 𝜽 = opp/ hyp

    Sin 𝜽 = -0.8 / 1

    Sin 𝜽 = -4/5

    Tan 𝜽 + Sin 𝜽 = 4/3 - 4/5

    Tan 𝜽 + Sin 𝜽 = 20/15- 12/15 

    Tan 𝜽 + Sin 𝜽 = 8/15 <–––––

  • alex
    Lv 7
    1 month ago

    Rule

    P(a,b)

    sin(θ)=b/√(a^2+b^2)

    cos(θ)=a/√(a^2+b^2)

    tan(ΞΈ)=b/a

  • ted s
    Lv 7
    1 month ago

    already worked......8/6 -0.8

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