Calculate x if cos x/ (1-sin x) = 1+sin x Calculate x if cos x/ (1-sin x) = 1+sin x

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You need to remember that by fundamental formula of trigonometry, .

You may write such that:

You may write and such that:

Reducing like terms yields:

Hence, evaluating the general solution of the equation yields .

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cosx/ (1-sinx) = 1+sinx

Cross multiply:

==> cosx = (1+sinx)*(1-sinx)

==> cosx = 1 - sin^2 x

But we know that:

cos^2 x = 1-sin^2 x

==> cosx = cos^2 x

==> cos^2 x - cosx = 0

==> cosx(cosx - 1) = 0

==> cosx = 0 ==> x1 = n*pi/2

==> cosx = 1==> x2 = 2n*pi

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