Mathematics, 19.09.2019 01:30 seawu
Simplify the expression. quantity one minus sine of x to the second power divided by quantity sine of x minus cosecant of x
Answers: 1
![\bf sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\\\ csc(\theta)=\cfrac{1}{sin(\theta)} \\\\ -----------------------------\\\\ \cfrac{1-sin^2(x)}{sin(x)-csc(x)}\implies \cfrac{cos^2(x)}{sin(x)-\frac{1}{sin(x)}}\implies \cfrac{cos^2(x)}{\frac{sin^2(x)-1}{sin(x)}} \\\\\\ \cfrac{cos^2(x)}{1}\cdot \cfrac{sin(x)}{sin^2(x)-1}\implies \cfrac{cos^2(x)}{1}\cdot \cfrac{sin(x)}{-[1-sin^2(x)]} \\\\\\ \cfrac{cos^2(x)sin^2(x)}{-cos^2(x)}\implies -sin(x)](/tpl/images/0241/5222/f4021.png)
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Simplify the expression. quantity one minus sine of x to the second power divided by quantity sine o...
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