Trigonometry Examples

$(\sec^{2} (x) + \csc^{2} (x)) - (\tan^{2} (x) + \cot^{2} (x))$

Step 1

Simplify by multiplying through.

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Step 1.1

Apply the distributive property.

$\sec^{2} (x) + \csc^{2} (x) - \tan^{2} (x) - \cot^{2} (x)$

Step 1.2

Move $- \tan^{2} (x)$ .

$\sec^{2} (x) - \tan^{2} (x) + \csc^{2} (x) - \cot^{2} (x)$

Step 2

Apply pythagorean identity.

$1 + \csc^{2} (x) - \cot^{2} (x)$

Step 3

Apply pythagorean identity.

$1 + 1$

Step 4

Add $1$ and $1$ .

$2$