Mathematics, 01.10.2019 16:30 592400014353
Simplify the expression (tan x)(1 - sin² x)1/2. show your work. (10 points)
Answers: 2
![\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)} \\\\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta)\\\\ -------------------------------\\\\ \cfrac{tan(x)[1-sin^2(x)]}{2}\implies \cfrac{\frac{sin(x)}{cos(x)}\cdot cos^2(x)}{2}\implies \boxed{\cfrac{sin(x)cos(x)}{2}}](/tpl/images/0280/1460/fc420.png)
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Simplify the expression (tan x)(1 - sin² x)1/2. show your work. (10 points)...
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