Mathematics, 10.10.2019 01:00, afloyd642
Simplify the expression: cos^2(pi-x)/sqrt1-sin^2(x) a. tan(x) b. cos(x) tan(x) c. cos(x) cot(x) d. sin(x) tan(x)
Answers: 3
![\bf \cfrac{cos^2(\pi -x)}{\sqrt{1-sin^2(x)}}\implies \cfrac{[cos(\pi -x)]^2}{cos(x)} \\\\\\ \cfrac{[cos(\pi )cos(x)-sin(\pi )sin(x)]^2}{cos(x)}\qquad \begin{cases} cos(\pi )=-1\\ sin(\pi )=0 \end{cases}\qquad thus \\\\\\ \cfrac{[\boxed{-1}cos(x)-\boxed{0}sin(x)]^2}{cos(x)}\implies \cfrac{[-cos(x)]^2}{cos(x)}\implies \cfrac{[cos(x)]^2}{cos(x)} \\\\\\ \cfrac{cos^2(x)}{cos(x)}\implies cos(x)](/tpl/images/0305/3260/99560.png)
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Simplify the expression: cos^2(pi-x)/sqrt1-sin^2(x) a. tan(x) b. cos(x) tan(x) c. cos(x) cot(x) d....
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