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e.g. tan 315 = -1, does that work in our equation ??

Yes, thank you again Reiny!

My next question is to find sin theta and cos theta.

cos 2theta = 1/3 and pi less than or equal to 2theta less than or equal to 2pi

I hope Im not overburdening you with question:/

  • trig -

    <<I hope Im not overburdening you with question:/>>

    lol, I love trig and do these kind of questions for recreation.

    for this one you will need to know

    1. sin2A = 2sinAcosA, and
    2. cos2A = cos^2 A - sin^2 A
    or 2cos^2 A -1
    or 1 - 2sin^2 A

    I will do the first, you do the second

    cos2A = 1-2sin^2A
    1/3 = 1 - 2sin^2 A
    2 sin^2 A = 1 - 1/3
    sin^2 A = 1/3
    sinA = ±1/√3 (I used A instead of theta)

    Can we use both ± ?
    2theta is in either I or IV
    then theta is in either I or II, but the sine in both of these is positive, so

    sinA = +1/√3 only.

    you try the second one.

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