Trigonometry Examples

$\tan^{2} (\frac{7 π}{4}) - \sec^{2} (\frac{7 π}{4})$

Step 1

Simplify with factoring out.

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Step 1.1

Reorder $\tan^{2} (\frac{7 π}{4})$ and $- \sec^{2} (\frac{7 π}{4})$ .

$- \sec^{2} (\frac{7 π}{4}) + \tan^{2} (\frac{7 π}{4})$

Step 1.2

Factor $- 1$ out of $- \sec^{2} (\frac{7 π}{4})$ .

$- (\sec^{2} (\frac{7 π}{4})) + \tan^{2} (\frac{7 π}{4})$

Step 1.3

Factor $- 1$ out of $\tan^{2} (\frac{7 π}{4})$ .

$- (\sec^{2} (\frac{7 π}{4})) - 1 (- \tan^{2} (\frac{7 π}{4}))$

Step 1.4

Factor $- 1$ out of $- (\sec^{2} (\frac{7 π}{4})) - 1 (- \tan^{2} (\frac{7 π}{4}))$ .

$- (\sec^{2} (\frac{7 π}{4}) - \tan^{2} (\frac{7 π}{4}))$

Step 2

Apply pythagorean identity.

$- 1 \cdot 1$

Step 3

Multiply $- 1$ by $1$ .

$- 1$