What is 1-sec^2(x)+tan^2(x)sec^2(x) ?

The solution to 1-sec^2(x)+tan^2(x)sec^2(x) is tan^4(x)

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simplify 1-sec^2(x)+tan^2(x)sec^2(x)

simplify

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

tan^{4} (x)

Solution steps

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

Use the Pythagorean identity:

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

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

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

Use the Pythagorean identity:

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

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

= tan^{2} (x) tan^{2} (x)

Factor out common term

tan^{2} (x)

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

= tan^{4} (x)

0 \cdot \frac{1}{2}

(x - 25) (x - 30) (x - 35)

2 + 6

\frac{8 - x ^{3}}{x ^{2} + 2 x - 8}

2 \cdot 2^{\frac{3}{2}}

What is 1-sec^2(x)+tan^2(x)sec^2(x) ?
The solution to 1-sec^2(x)+tan^2(x)sec^2(x) is tan^4(x)