Q.6Find the general solution of 2 sinx + tanx = 0 – InterviewSolution

1.

Q.6Find the general solution of 2 sinx + tanx = 0

Answer»

2sinx + tanx = 02sinx + sinx/cosx = 0(2sinx.cosx + sinx)/cosx = 02sinx.cosx + cosx = 0sinx(2cosx + 1) = 0

So, sinx = 0x = 2npi, pi + 2npi

And if 2cosx + 1 = 0cosx = - 1/2

x = 2pi/3 + 2pin, 4pi/3 + 2pin

Combine all solutionsx = 2pi/3 + 2pin, 4pi/3 + 2pin, 2pin, pi + 2npi

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