Question

Trigonometric behaviors- Tangents:

Answer 1

sure friend.

Answer 2

Btw, its only question1 not all of them:)

Answer 3

let us solve Q#1

Answer 4

Yes:)

Answer 5

Write the given question in the general form as.\[\large y=Atan[B(x-(\frac{C}{B}))]+C\]\[\large y=-2\tan[3(x-(-\frac{\pi}{3}))]+3\]
Now compare results
amplitude=|A|=-2
Period=2*pi/B 2*pi/3

Answer 6

Thnx for testimonial friend. :)

Answer 7

Wait, but how come there is a pi/3 in the equation?

Answer 8

it don't have vertical asymptote but two horizontal asymptote.

Answer 9

180degree = pi radians.

Answer 10

Oh thats right:)

Answer 11

so the period is 2*pi/3

Answer 12

yes.

Answer 13

Ok. Is this range correct?

{y | y is an element or R}

Answer 14

yes. range will be all real numbers.

Answer 15

What would my domain be? This one in particular I am having the most trouble with

Answer 16

one simple problem is that tan has a period of pi... and not 2pi... so the period is pi/3

for the tan graph... the -2 means there curve is reversed

+3 means the centre of the curve is moved up to the line y = 3