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ctga-sin2a=ctga x cos2a prove dath :/

 Oct 23, 2016
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ctga-sin2a=ctga x cos2a prove dath :/

 

\(cot(a)-sin(2a)=cot(a) \times cos(2a)\\ RHS=cot(a)-sin(2a)\\ RHS=cot(a)-2sin(a)cos(a)\\ RHS=cot(a)-\frac{2sin(a)cos(a)cot(a)}{cot(a)}\\ RHS=cot(a)\left(1-\frac{2sin(a)cos(a)}{cot(a)}\right)\\ RHS=cot(a)\left(1-\frac{2sin(a)cos(a)sin(a)}{cos(a)}\right)\\ RHS=cot(a)(1-2sin^2(a))\\ RHS=cot(a)(cos(2a))\\ RHS=LHS\\ \)

 

Next time a please would be appreciated :/

 Oct 23, 2016

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