Trigonometry Examples

$\ln (| \cot (t) |) + \ln (1 + \tan^{2} (t))$

Step 1

Rearrange terms.

$\ln (| \cot (t) |) + \ln (\tan^{2} (t) + 1)$

Step 2

Apply pythagorean identity.

$\ln (| \cot (t) |) + \ln (\sec^{2} (t))$

Step 3

Use the product property of logarithms, $\log_{b} (x) + \log_{b} (y) = \log_{b} (x y)$ .

$\ln (| \cot (t) | \sec^{2} (t))$