SOLUTION: If sin theta= 2/3 and theta is in Quadrant I, what is the value of (tan theta)(cos theta?

Question 831594: If sin theta= 2/3 and theta is in Quadrant I, what is the value of (tan theta)(cos theta?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
If sin theta= 2/3 and theta is in Quadrant I, what is the value of (tan theta)(cos theta?
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sin = y/r, so y = 2 and r = 3
Then x = sqrt[3^2-2^2] = sqrt(5)
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Ans: tan(t) = y/x = 2/sqrt(5) ; cos(t) = x/r = sqrt(5)/3
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Cheers,
Stan H.
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