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Mathematics 16 Online
OpenStudy (anonymous):

Check my answer? Almost done! c: http://i59.tinypic.com/8x6lhf_th.png

OpenStudy (anonymous):

@hartnn

OpenStudy (anonymous):

what school and year i have the answers for like full lessons

hartnn (hartnn):

again wrong answer choices

OpenStudy (anonymous):

It's FLVS, 5.10, but I'd just like to know if I did it correctly and if not figure out what i did wrong :x

OpenStudy (anonymous):

its right

OpenStudy (anonymous):

you are correct

hartnn (hartnn):

it'd be just \(\tan \theta\) and not \(\pm \tan \theta \)

hartnn (hartnn):

and cos is not correct -.-

zepdrix (zepdrix):

why no plus/minus?

OpenStudy (anonymous):

^

hartnn (hartnn):

\(\sqrt{x^2} = |x|\) not +/- x

hartnn (hartnn):

answer to a square root of real number can never be negative

OpenStudy (anonymous):

so it's technically Tan still? out of these choices?

zepdrix (zepdrix):

|x| = +/-x it's positive some places, negative in others. example: -tan(3pi/4) = sqrt(tan^2(3pi/4)) I think that's the point of the negative though. See how this negative is changing the tan(3pi/4) to a positive? making sure the root is positive. Maybe I don't have my head on straight today :P I dunno, I'll think about it some more.

hartnn (hartnn):

last option is correct, yes tan.

OpenStudy (anonymous):

ok im posting one more and im done =3

hartnn (hartnn):

example \(\sqrt {(x)^2}\) when x is negative, say -6

hartnn (hartnn):

answer won't be negative

hartnn (hartnn):

also |-6| =6

zepdrix (zepdrix):

\[\Large\rm \sqrt{x^2}=\pm x\]So in your example, when x=-6\[\Large\rm \sqrt{(-6)^2}=\pm (-6)=-(-6)\]See how we have to use the negative root in order to get the correct answer? |-6|=+/-(-6) = -(-6)=6

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