SOLUTION: Use the given information to find the values of the remaining five trigonometric functions. (Enter your answers in exact form.)
cos x = −1/square root 37, π < x < 3`
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-> SOLUTION: Use the given information to find the values of the remaining five trigonometric functions. (Enter your answers in exact form.)
cos x = −1/square root 37, π < x < 3`
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Question 805265: Use the given information to find the values of the remaining five trigonometric functions. (Enter your answers in exact form.)
cos x = −1/square root 37, π < x < 3π/2
sin x =
tan x =
csc x =
sec x =
cot x = Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Use the given information to find the values of the remaining five trigonometric functions. (Enter your answers in exact form.)
cos t = −1/square root 37, π < x < 3π/2
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t is in QIII where x is negative and y is negative
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since cos(t) = x/r, x = -1 and r = sqrt(37)
Then y = sqrt(r^2-x^2) = sqrt(37-1) = 6
But remeber that y is negative so y = -6
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sin t = y/r = -6/sqrt(37)
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tan t = y/x = -6/-1 = 6
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csc t = r/y = sqrt(37)/-6 = -sqrt(37)/6
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sec t = r/x = sqrt(37)/-1 = -sqrt(37)
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cot t = x/y = -1/-6 = 1/6
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Cheers,
Stan H.
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