# How do you simplify sqrt(tan^2x-2tanxsinx+sin^2x)?

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Noah G Share
Dec 12, 2016

This can be factored as a perfect square trinomial, or of the form ${\left(a + b\right)}^{2} = {a}^{2} + 2 a b + {b}^{2}$.

$= \sqrt{{\left(\tan x - \sin x\right)}^{2}}$

$= | \tan x - \sin x |$

Hopefully this helps!

Then teach the underlying concepts
Don't copy without citing sources
preview
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#### Explanation

Explain in detail...

#### Explanation:

I want someone to double check my answer

1
Dec 12, 2016

Factorize the expression under the square root as a quadratic trinomial in tanxsinx. Then simplify from there.
(This phone don't allow me to write in math styles sorry I can't give steps and final answer)

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