How do you solve tan (theta/8) + √3 = 0?

1 Answer
Alan P.
Jun 3, 2015

If tan(theta/3) + sqrt(3) =0
then
color(white)("XXXX")tan(theta/8) = -sqrt(3)

and (theta/8) = -30^@ or 150^@ (it's one of the standard trigonometric triangles)
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Therefore
color(white)("XXXX")theta = 8*(-30^@) = 240^@ = 120^@
or
color(white)("XXXX")theta = 8 *(150^@) = 1200^@ = 120^@

In either case theta is equivalent to 120^@

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