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Mathematics 9 Online
OpenStudy (anonymous):

Bah, I'll ask this one with that equation thing.

OpenStudy (anonymous):

s\[Simplify: \sec^2\theta - 1/\sec^2 \theta \]

OpenStudy (anonymous):

sec cancle out right?

OpenStudy (anonymous):

just for kicks is it 1. (sec^2 - 1) 2. sec^2 - (1/sec^2) ?

OpenStudy (anonymous):

Well our teachers gave us the answers, I just don't know how to solve it.. but the answer is \[\sin ^2\theta \]

OpenStudy (anonymous):

nvm my question this is gonna take a second not used to the equation thing but it is just a trig identity

OpenStudy (anonymous):

Okay, take your time o;

OpenStudy (anonymous):

\[(\sec ^2 - 1) / \sec ^2\] \[= \tan ^2 / \sec^2\] \[= (\sin^2/\cos^2)/\sec^2\] \[= (\sin^2/\cos^2)/(1/\cos^2)\] \[= (\sin^2 * \cos^2 / \cos^2 )\]

OpenStudy (anonymous):

which equals \[\sin^2\] i used \[1 + \tan^2 = \sec^2\] and changed it to \[\tan^2 = \sec^2 - 1\] and exchanged sec - 1 for tan in the problem

OpenStudy (anonymous):

In that second to last step, you can just drop the 1? o:

OpenStudy (anonymous):

no, what i did was invert and multiply because it was sin/cos, divided 1/cos. invert and multiply you get sin/cos * cos/1, or just sin/cos * cos, which is sin*cos/cos, and cos/cos is just 1 so you are left with sin

OpenStudy (anonymous):

that's all sin^2 and cos^2 of course lol

OpenStudy (anonymous):

Oh alright, thank you C:

OpenStudy (anonymous):

Is the question \[(\sec ^{2}\theta -1)/\sec ^{2}theta\] or \[\sec ^{2}\theta - 1/\sec ^{2}\theta\]

OpenStudy (anonymous):

Just how I typed it, which is the second one. It's been solved

OpenStudy (anonymous):

sin(x)^2

OpenStudy (anonymous):

Hm?

OpenStudy (anonymous):

If it's the second one then I'm afraid that solution was incorrect because the you have to find the common denominator first

OpenStudy (anonymous):

Well the right answer was the result of it..?

OpenStudy (anonymous):

^^ im trying to find a work around for the second one lol

OpenStudy (anonymous):

and just for kicks, the way it is written whereever you are finding it, is it like this |dw:1338785993244:dw|

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