What is sec^4(x)-sec^2(x) ?

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

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simplify sec^4(x)-sec^2(x)

simplify

sec^{4} (x) - sec^{2} (x)

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

Solution steps

sec^{4} (x) - sec^{2} (x)

Factor

- sec^{2} (x) + sec^{4} (x) : sec^{2} (x) (- 1 + sec^{2} (x))

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

Rewrite using trig identities

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

(6 ab + 10) (7 a - 2 b)

1 + (2 x - \frac{1}{8 x})^{2}

(e^{x} sin (x))^{2}

(- 7) (- 4)

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