COMPOUND ANGLES 1) If \(A,B,C,\alpha ,\beta ,\gamma .....\)are any angles then \(A + B + C + A + B - C,A - B + C,\) are called compound Angles. Theorem : For all&
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COMPOUND ANGLES Theorem 2 : If none of the angles A, B, A+B, and A-B are an odd multiples of \(\frac{\pi }{2}\) i)\(\tan (A + B) = \frac{{\sin (A + B)}}{{\cos (A + B)}}\) \(= \frac{{\sin A\cos
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COMPOUND ANGLES Theorem 3 : If none of the angles A, B, A + B, A - B are an Integral multiple of \(\pi\), then i) \(\cot (A + B) = \frac{{\cot A.\cot B - 1}}{{\cot B + \cot A}}\)&nb
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COMPOUND ANGLES Theorem 4: Prove that : 1)sin(A+B) . sin(A-B) =sin2A -sin2B (or) cos2B - cos2A 2)cos(A+B).cos(A-B) =cos2A -sin2B (or) cos2B - sin2A 3)\(\tan (A + B).\tan (A - B) = \frac{{{{\
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COMPOUND ANGLES Theorem 5 : Prove that for any three non-zero Angles A, B, C i)\(\sin (A + B + C) = \sin A.\cos B.\cos C + \cos A.\sin B.\cos C\) \(+ \cos A.\cos B.\sin C - \sin A.
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