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Answered 2013-12-21 19:50:03

There can be no significant simplicfication if some of the angles are theta and others are x, so assume that all angles are x.

[csc(x) - cot(x)]*[cos(x) + 1]

=[1/sin(x) - cos(x)/sin(x)]*[cos(x) + 1]

=1/sin(x)*[1 - cos(x)]*[cos(x) + 1]

=1/sin(x)*[1 - cos2(x)]

=1/sin(x)*[sin2(x)]

= sin(x)

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