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Every trigonometry problem is based on the formulas. They r many indenties like: Sin^2a + cos^2a=1 Sec^2a - tan^2a= 1 Cosec^2a - cot^2a = 1. The best way to solve trigonometry problems.. Is to convert the terms like cosecant , secant , cot into sine , cosine , tangent respectively. It's the better way to solve the problems. And it is east to verify the value , if the problem is given in such a way that , to prove L.H.S=R.H.S. Every formula shud be know by us. And we have to ensure that. We have to know the angles made my the trigonometry ratios.
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