One Cycle of a Trigonometric Function
Integral of a Complex Exponential Consider the integral $ \int_0^{2 \pi} d\theta e^{i \theta} $. Upper Limit of $2 \pi$ Radians The […]
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Differentiating the Cosine Function
In this post, the derivative of the cosine function is found. To do this, the steps in reference 1 are followed. Start […]
Differentiating the Sine Function
From this post, one type of derivative is $\lim_{\Delta x\rightarrow0^+}\frac{f(a+\Delta x)-f(a)}{\Delta x}\equiv\frac{df(x)}{dx}\big|_{a^+}$ To be consistent with my previous interpretation of $0^+$ in this post, […]
A Limit Involving the Cosine Function
Now that several limit properties have been proven, it is possible for me to evaluate $ \lim_{\alpha \rightarrow 0} \frac{1 – \cos […]