Trigonometry

## One Cycle of a Trigonometric Function

Integral of a Complex Exponential Consider the integral $\int_0^{2 \pi} d\theta e^{i \theta}$. […]

Differentiation

## Differentiating the Cosine Function

In this post, the derivative of the cosine function is found. To do this, the […]

Differentiation

## 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 […]

Limit

## A Limit Involving the Cosine Function

Now that several limit properties have been proven, it is possible for me to evaluate […]