IloveCharlie
Please help! Having trouble with this Precalc/Trig problem :/ Click attached



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IloveCharlie
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dpaInc
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factor it... treat it as a quadratic...

eyust707
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Lets just change the name of tanx.. lets call z.

waterineyes
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Factor out tan(x) first..

eyust707
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\[z^2  z = 0 \] can you do that one?

waterineyes
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\[\tan(x)(\tan(x)  1) = 0\]
\[\tan(x) = 0\]
And:
\[\tan(x)  1 = 0\]
Now try to find x..

IloveCharlie
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1/4?

IloveCharlie
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?

helpingtutors
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x = arc tan(1)
x=??

IloveCharlie
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pi/4


waterineyes
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tan(x) = 0
Can you tell for what value of x tan(x) is 0 ??

IloveCharlie
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:/ uhhh

waterineyes
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huh...

waterineyes
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tan(x) = 0
can't you find x from it??
\[x = \tan^{1}(0)\]

IloveCharlie
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I replied to helpingtutors, pi/4?

waterineyes
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That is not right for this..

waterineyes
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That is right for \(tan(x) = 1\)

waterineyes
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Can you find the value of \(tan^{1}(0)\) ??

IloveCharlie
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0

waterineyes
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Yes..

waterineyes
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One value you are getting 0 and other pi/4
What could be the answer can you tell ??

waterineyes
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By looking at the answer choices..

IloveCharlie
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C.? Or can you reduce?

nickhouraney
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reduce?

waterineyes
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Are you sure with C or not ??
Tell me this thing..

IloveCharlie
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Yes

waterineyes
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Then you are right..

nickhouraney
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tangent equals zero in two points in the unit circle

IloveCharlie
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C. Thank you all for your help :) I appreciate it very much

waterineyes
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Wait..

IloveCharlie
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:/

waterineyes
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Go with @nickhouraney

IloveCharlie
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So not c.?

waterineyes
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No..
My mistake there...

nickhouraney
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whats points in the unit circle will tangent equal zero

nickhouraney
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if you answer this ^ you will have your answer

waterineyes
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Basically :
\(tan(x) = 0\)
\[\implies x = n \pi, n \in \mathbb{Z}\]

waterineyes
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n is integer here..
Put n = 0 and 1 to find your answer..

IloveCharlie
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b.?

waterineyes
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Yep..

IloveCharlie
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Ahhhh I see. Thanks guys

waterineyes
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Welcome dear..