Posted by sophie on Friday, May 29, 2009 at 6:03pm.
Write an equation of the tangent function with period (3π)/8, phase shift π/5, and vertical shift 2.
a. y=tan((8x)/3  (8π)/15) 2
b. y=tan((8x)/3 + (8π)/15) 2
c. y=tan((16x)/3 +(3π)/80) 2
d. y=tan((8x)/3  (3π)/40) 2
I think it is A... or B?

Math  Reiny, Friday, May 29, 2009 at 7:28pm
personally, I prefer to write trig functions with the k factor outside the bracket. That way the sphase shift is immediately obvious.
so my first choice would have been
y = tan (8/3)(x + π/5)  2
which after expanding, is the same as B

Math  sophie, Friday, May 29, 2009 at 7:38pm
thanks
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