What is 7sec^2(x)-7tan^2(x) ?

The solution to 7sec^2(x)-7tan^2(x) is 7

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simplify 7sec^2(x)-7tan^2(x)

simplify

7 sec^{2} (x) - 7 tan^{2} (x)

7

Solution steps

7 sec^{2} (x) - 7 tan^{2} (x)

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

sec^{2} (x) - tan^{2} (x) = 1

= 7 \cdot 1

Factor out common term

7

= 7 (sec^{2} (x) - tan^{2} (x))

= 7

- 5 m - 3 n + 6 + 2 m + 2 n - 8

(\frac{3}{- 3})^{4}

\frac{1}{9} \cdot \frac{2}{3}

1 \frac{4}{11}