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Diptanuj Sarkar

2 months before

Verify solution

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Can somebody please verify that my version (or method) of the solution is correct? I have attached a picture of my handwritten solution. The problem is an Example in Class XII Vedas (Mathematics), Limits and Derivatives II, Example 40.

Amrita Roy

2 months before

Hi Diptanuj, The solution looks fine. In fact, it is an elaborated version of the solution given in the Vedas. If you look at the direct formula given in the first line where the angles are simply added for cos and sin, you will oberve that this result can be established using the method you have used.On many occasions, this type of representation of complex number is used to make the expressions simpler. We use this for integration, binomial theorem, series etc.