How do you solve the identity $2 cot x = -3/2$ ?

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Answer 1 · 2018-05-09T23:36:57

the answer
$x=2.2143$

$2 cot x = -3/2$

we will hit the two side by $1/2$

$cotx=-3/4$

cotx is negative in second and forth quadrants

we will take $cot^-1$ to both side , we will get

$x=cot^-1(-3/4)$

$cot^-1$ is negative in the second quadrant

so the most common quadrant is the second quadrant

$x=2.2143$

How do you solve the identity 2 cot x = -3/2 2 cot x = -3/2?