Question 864824: if tangent theta = square root of 2 over 4 and angle theta terminates in the first quadrant, determine co-tangent theta, co-secant theta, and secant theta
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! if tangent theta = square root of 2 over 4 and angle theta terminates in the first quadrant, determine co-tangent theta, co-secant theta, and secant theta
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Tan is defined as y/x
So y = sqrt(2) and x = 4
Then r = sqrt[2+16] = sqrt(18)
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cot(t) = 4/sqrt(2)
csc(t) = r/y = sqrt(18)/sqrt(2) = sqrt(9) = 3
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sec(t) = r/x = sqrt(18)/4
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Cheers,
Stan H.
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