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Trigonometric equation - a*sinx*cosx=sinx-cosx

Trigonometry equalities, inequalities and expressions - sin, cos, tan, cot
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Trigonometric equation - a*sinx*cosx=sinx-cosx

Postby Math Tutor » Mon Jul 18, 2011 5:13 am

The problem is from the entrance exam for the most prestigious bulgarian university - Sofia Universtity.

Let's have a trigonometric equation:
a*sinx*cosx=sinx-cosx

a is a real parameter
a = ? the trigonometric equation has 2 different roots
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