# Chapter 7 - Chapter Test - Page 554: 6

$sec^{2}(x)tan^{2}(x) + sec^{2}(x) = sec^{4}(x)$ $sec^{2}(x) (tan^{2}(x) + 1)$ = $sec^{4}(x)$ $sec^{2}(x)$$sec^{2}(x) = sec^{4}(x) sec^{4}(x) = sec^{4}(x) #### Work Step by Step Note: tan^{2}(x) + 1 = sec^{2}(x) sec^{2}(x)tan^{2}(x) + sec^{2}(x) = sec^{4}(x) Factor the expression: sec^{2}(x) (tan^{2}(x) + 1) = sec^{4}(x) Using the above note: sec^{2}(x)$$sec^{2}(x)$ = $sec^{4}(x)$ $sec^{4}(x) = sec^{4}(x)$

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