How do you find the solution to $cottheta-6=2cottheta+2$ if $0<=theta<2pi$ ?

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How do you find the solution to $cottheta-6=2cottheta+2$ if $0<=theta<2pi$ ?

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Answer 1 · 2017-02-07T13:57:19

$-7^@125, 172^@875$

Explanation:

cot t - 6 = 2cot t + 2
- 6 - 2 = 2cot t - cot t
cot = - 8 --> $tan t = 1/(cot) = - 1/8$
Use calculator and unit circle:
$tan t = - 1/8$ --> $t = -7^@125$
Trig unit circle gives another arc t that has the same tan value:
$t = - 7.125 + 180 = 172^@875$

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How do you find the solution to $cottheta-6=2cottheta+2$ if $0<=theta<2pi$ ?

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How do you find the solution to cottheta-6=2cottheta+2cottheta-6=2cottheta+2 if 0<=theta<2pi0<=theta<2pi?

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How do you find the solution to $cottheta-6=2cottheta+2$ if $0<=theta<2pi$ ?