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Important formulas for multiple / sub-multiple of an angel

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Important formulas for multiple/sub-multiple of an angle  (a)  sin 2A =2sin A.cos A =                                2 tan A                                1+tan A ) (b) (c) (d) (e) g) (k) (h)        cos 2A = cos A-sin A=- tan 2A= =2 cosA-1=1-2 sin'A tan 3A = sin 3A=3 sin A-4 sin'A cos 3A =4 tan 3A = 0 tan- 2 0 cot = 2 2 tan A 1- tanA tan = cos'A-3 cos A 3tan A -4 tan A 1-3 tanA 1-6 tan 4 tan A -4 tanA -cos 0 sin 0 1+cos 0 sin sin = 3 sin-4 sin 3 tan 3 3 cos = 4 cos'-3 cos- 3 1- tan AA(2n+1) - tan 1-3 tan 1+ tan A A+ tanA 1+ cos 0 3 sin 0 3 3 3 A (2n+1); 4 4 Sf