How do I solve: sqrt(3)tanx=

I need to use the identity tanx=sinx/cosx

Thanks

2 answers

It equauls 2sinx
√3 tanx = 2sinx
√3 sinx/cosx - 2sinx = 0
sinx(√3/cosx - 2) = 0
sinx = 0
x = 0 , π, 2π ... , you didn't state a domain

or

√3/cosx = 2
cosx = √3/2
x = π/6 or 5π/6 ------ (30° or 150°)
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