Mathematics, 04.10.2019 20:40, HalpMehPlz
Verify the following identity: ((1-cos(x))/(sin(+((sin(x))/(1-cos( = 2csc(x)
Answers: 1
![\bf \cfrac{1-cos(x)}{sin(x)}+\cfrac{sin(x)}{1-cos(x)}\implies \cfrac{[1-cos(x)]^2+sin^2(x)}{sin(x)[1-cos(x)]} \\\\\\ \cfrac{1-2cos(x)+\boxed{cos^2(x)+sin^2(x)}}{sin(x)[1-cos(x)]}\implies \cfrac{1-2cos(x)+1}{sin(x)[1-cos(x)]} \\\\\\ \cfrac{2-2cos(x)}{sin(x)[1-cos(x)]}\implies \cfrac{2\underline{[1-cos(x)]}}{sin(x)\underline{[1-cos(x)]}} \\\\\\ \cfrac{2}{sin(x)}\implies 2\cdot \cfrac{1}{sin(x)}\implies 2csc(x)](/tpl/images/0286/9426/90986.png)
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Verify the following identity: ((1-cos(x))/(sin(+((sin(x))/(1-cos( = 2csc(x)...
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