SOLUTION: What is the angle when cot theta = -1 ? The book has the answer, I just need to know how to do it. Thanks.
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Question 340898: What is the angle when cot theta = -1 ? The book has the answer, I just need to know how to do it. Thanks.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ \frac{sin(\varphi)}{cos(\varphi)})
So, in order for \ =\ -1)
, \ =\ -cos(\varphi))
Look at the unit circle and find the two places where
But you didn't restrict your solution to any particular set of angles, so your complete answer is:
\ =\ \frac{3\pi}{4}\ +\ 2k\pi)
or
\ =\ \frac{7\pi}{4}\ +\ 2k\pi)
which can be simplified to:
\ =\ \frac{3\pi}{4}\ +\ k\pi)
where
John
My calculator said it, I believe it, that settles it
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