SOLUTION: Algebraically determine the solutions to the following equations. Provide answers that are appropriate taking into the consideration the stated domains. {{{ sqrt (2)cot(theta)+

Algebra ->  Trigonometry-basics -> SOLUTION: Algebraically determine the solutions to the following equations. Provide answers that are appropriate taking into the consideration the stated domains. {{{ sqrt (2)cot(theta)+      Log On


   



Question 956654: Algebraically determine the solutions to the following equations. Provide answers that are appropriate taking into the consideration the stated domains.
+sqrt+%282%29cot%28theta%29%2B2=0+ over the domain of all real numbers.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt (2)cot(theta)+2=0 over the domain of all real numbers
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cot(t) = -2/sqrt(2) = -sqrt(2)
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tan(t) = -1/sqrt(2)
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t = arctan(-1/sqrt(2)) = -0.6155 radians
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t = -0.6155+ 2pi = 5.6677
Or
t = -0.6155+pi = 2.5261
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Cheers,
Stan H.
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