Handy Table of Trig Formulas and Identities Relationships Among Trig Functions \begin{align*} \csc x &= \frac{1}{\sin x} & \sec x &= \frac{1}{\cos x} \\ \\ \tan x &= \frac{\sin x}{\cos x} & \cot x &= \frac{\cos x}{\sin x} \end{align*} \begin{align*} \sin^2 x + \cos^2 x &= 1 \\ 1 + \cot^2 x &= \csc^2 x… [read more]

Handy Table of Derivatives Want lots of examples to see how to calculate derivatives? Visit our free Calculating Derivatives: Problems & Solutions page! Power of x \begin{align*} \frac{d}{dx} \left(c\right) &= 0 \\[8px] \frac{d}{dx} \left(cx\right) &= c \\[8px] \frac{d}{dx} \left(cx^n\right) &= ncx^{n-1} \\[8px] \end{align*} For example, \[\dfrac{d}{dx}5x^3 = 3 \cdot 5x^2 = 15x^2 \] You’ll also… [read more]

Handy Table of Trig Function Derivatives Want lots of examples to see how to calculate derivatives? Visit our free Calculating Derivatives: Problems & Solutions page! \begin{align*} \frac{d}{dx}\left(\sin x\right) &= \cos x \\[8px] \dfrac{d}{dx}\left(\cos x\right) &= -\sin x \\[8px] \dfrac{d}{dx}\left(\tan x\right) &= \sec^2 x \\[8px] \frac{d}{dx}\left(\csc x\right) &= -\csc x \cot x \\[8px] \frac{d}{dx}\left(\sec x\right) &=… [read more]