SOLUTION: A function value and a quadrant are given. find the other function values give the exact answers. cos theta = 9/41 what is the sin what is the tan

Algebra ->  Trigonometry-basics -> SOLUTION: A function value and a quadrant are given. find the other function values give the exact answers. cos theta = 9/41 what is the sin what is the tan      Log On


   



Question 758214: A function value and a quadrant are given. find the other function values give the exact answers.
cos theta = 9/41
what is the sin
what is the tan

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A function value and a quadrant are given. find the other function values give the exact answers.
cos theta = 9/41
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Note: You mentioned no quadrant. I'll assume is is QIV where y is negative.
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Since cos = x/r = 9/41, x = 9 and r = 41
Solve for "y"
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y = -sqrt{41^2-9^2] = -40
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what is the sin = y/r = -40/41
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what is the tan = y/x = -41/9 = -4.556
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Cheers,
Stan H.
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