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

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HSBC244 Share
Dec 12, 2016

This can be factored as a perfect square trinomial, or of the form #(a + b)^2 = a^2 + 2ab + b^2#.

#=sqrt((tanx - sinx)^2)#

#=|tanx - sinx|#

Hopefully this helps!

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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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