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

2 Answers
Trevor Ryan.
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)

Noah G
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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