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Mathematics 18 Online
OpenStudy (liziekay):

Not sure what I'm doing wrong here...

OpenStudy (liziekay):

OpenStudy (liziekay):

I know that you have to use the formula cos A= - square root 1 - sin^2 A so cos A is -5/17

OpenStudy (liziekay):

And for the double angle formula = 2 sin A cos A, plugging in the values I would multiply 2 (-8/17) (-15/17) = 240/289

OpenStudy (solomonzelman):

If you have a question about anything let me know. ------------------------------------------------- You know the hypotenuse is always positive, and since you are in the QIII, the adjacent side and the opposite side are both negative. Knowing that the 1. opp=-8 2. hyp=17 you get, \((-8)\)\(^2+x^2=17^2 \quad \Longrightarrow \quad x=15\), and since you are in QIII, adj=-15. You are given that \(\sin(A)=-8/17\), and then you also know that \(\cos(A)=-15/17\), based on the adjacent side we just found.

OpenStudy (liziekay):

Nevermind, I see where I went wrong.. Small math error (:

OpenStudy (solomonzelman):

Not also that \(\sin(2A)=2\sin(A)\cos(A)\), and you already know \(\sin(A)\) and \(\cos(A)\).

OpenStudy (solomonzelman):

I meant Note also (not, "not" also).

OpenStudy (liziekay):

yes exactly @SolomonZelman

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