SOLUTION: If cotθ=-4 find all the possible values of sinθ, cosθ and tanθ.
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Question 333375: If cotθ=-4 find all the possible values of sinθ, cosθ and tanθ.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \frac{1}{\cot(\varphi))
\ =\ \frac{1}{1\ +\ \tan^2(\varphi)})
\ =\ 1\ -\ \cos^2(\varphi))
\ =\ -\frac{1}{4)
\ =\ \frac{1}{\frac{17}{16}}\ =\ \frac{16}{17}\ \ \Rightarrow\ \ \cos(\theta)\ =\ \pm\frac{4\sqrt{17}}{17})
\ =\ 1\ -\ \frac{16}{17}\ =\ \frac{1}{17}\ \ \Rightarrow\ \ \sin(\theta)\ =\ \pm\frac{\sqrt{17}}{17})
John
My calculator said it, I believe it, that settles it
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