How do you solve $tan 4 x = - 1$ $tan4x=-1$ and find all exact general solutions?

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How do you solve $tan 4 x = - 1$ $tan4x=-1$ and find all exact general solutions?

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Answer 1 · 2016-09-11T11:48:33

$\frac{3 π}{16} + \frac{k π}{4}$ $(3pi)/16 + (kpi)/4$

Explanation:

tan 4x = - 1
Trig table of special arcs, and unit circle -->
tan 4x = -1 --> $4 x = \frac{3 π}{4} + k π$ $4x = (3pi)/4 + kpi$
General answers:
$x = \frac{3 π}{16} + \frac{k π}{4}$ $x = (3pi)/16 + (kpi)/4$

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How do you solve $tan 4 x = - 1$ $tan4x=-1$ and find all exact general solutions?

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How do you solve tan4x=-1tan4x=−1tan4x=-1 and find all exact general solutions?

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How do you solve $tan 4 x = - 1$ $tan4x=-1$ and find all exact general solutions?