how to prove that derivative of sin(x) is cos(x)

Introduction : In this we shall prove that derivative of sin(x) is cos(x) using the formal definition of derivative. Question : prove that derivative of sin(x) is cos(x)Solution :\[f\left(x\right)=\sin{\left(x\right)}\] Derivative of a function is defined as \[\frac{df\left(x\right)}{dx}=limit_{∆x→0}\frac{f(x+∆x)-f(x)}{x+∆x-x}\] Using the definition…

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