How do you solve $3cot2x-1=0$

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Answer 1 · 2015-02-21T17:31:32

Solve $3 cot (theta) - 1 = 0$ for $theta$
then divide $theta$ by $2$
(Sticking the $2x$ in the $cot$ function is a misleading trick).

$3 cot (theta) - 1 = 0$
$rarr cot (theta) = 1/3$
$rarr tan (theta) = 3$

Looking this up in standard tables, we get:
$theta = 1.249 radians$

So
$x = 0.6245 radians$

How do you solve 3cot2x-1=03cot2x-1=0