When do you put +k.pi and when +2pi.k?

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When do you put +k.pi and when +2pi.k?

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Answer 1 · 2018-04-08T23:46:31

For the sin and cos functions, add 2kpi
Exp: $cos x = \frac{1}{2}$ $cos x = 1/2$
$x = \frac{π}{3} + 2 k π$ $x = pi/3 + 2kpi$
For the tan and cot functions, add pi.
Exp: $tan x = \sqrt{3}$ $tan x = sqrt3$
$x = \frac{π}{6} + k π$ $x = pi/6 + kpi$

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When do you put +k.pi and when +2pi.k?

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