Author Topic: Tan function (Read 807 times) Tweet Share

chuckjefster90 · « **on:** September 17, 2009, 07:36:28 pm »

How do u find x intercepts for
y=3tan(x) + 1

and also is the asymptote for tan graphs always half of the period?

TrueTears · « **Reply #1 on:** September 17, 2009, 07:41:59 pm »

$\tan(x) = \frac{1}{3}$

$x = \tan^{-1}(\frac{1}{3})$

However tan is negative, thus tan is either in the 2nd or 4th quadrant.

Thus $x = \pi - \tan^{-1}(\frac{1}{3}) + n \pi$ where $n \in Z$

chuckjefster90 · « **Reply #2 on:** September 17, 2009, 07:51:05 pm »

wat wud be x intercepts for graph?
over domain 0-2pie

TrueTears · « **Reply #3 on:** September 17, 2009, 07:55:20 pm »

$x = \pi - \tan^{-1}(\frac{1}{3}) + n \pi$ for $n \in Z$ and $x \in [0, 2\pi]$

Test values for n start from maybe -1 , 0 , 1 etc

chuckjefster90 · « **Reply #4 on:** September 17, 2009, 07:57:40 pm »

Kool thanks

Also still confused about asymptotes, they are half of the period right?

TrueTears · « **Reply #5 on:** September 17, 2009, 08:03:27 pm »

chuckjefster90 · « **Reply #6 on:** September 17, 2009, 08:10:43 pm »

koolies

Another question this time about sin and cos

How do u find the coordinates of the turning points?

TrueTears · « **Reply #7 on:** September 17, 2009, 08:13:30 pm »

$\frac{d}{dx}(\sin(x)) = \cos(x)$

$\cos(x) = 0$

Solve.

Same applies for $\cos(x)$

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Author Topic: Tan function (Read 807 times) Tweet Share

chuckjefster90

Tan function

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