SOLUTION: The tangent of p is -1/radical 3 and the secant of p is -2/ radical 3. What is the sine of p?

Question 198314: The tangent of p is -1/radical 3 and the secant of p is -2/ radical 3. What is the sine of p?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The tangent of p is -1/radical 3 and the secant of p is -2/ radical 3. What is the sine of p?
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tan(p) = -1/sqrt(3) = y/x
sec(p) = -2/sqrt(3) = r/x implies r = 2 and x = -sqrt(3)
y = sqrt(r^2-x^2) = sqrt[4 - 3] = 1
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If tan is negative and sec is neg, p must be in the 2nd quadrant
where sin is positive.
sin(P) = y/r = 1/2
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Cheers,
Stan H.

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