Question

F(x)=3cos(3x)-1

Answer 1

integral?

Answer 2

hey

Answer 3

hey I can help

Answer 4

i have no idea. we are looking for the amplitude, period, and both shifts and i have no clue where to start

Answer 5

Oh.

Answer 6

If f(x) = Acos(Bx-C) + D
then amplitude is A,
Period = 2*pi / B
Phase shift = C / B
Vertical shift = D

Answer 7

ok that helped a heck of a lot!!!!

Answer 8

ok one more question will i always use 2*pi if its sin tan csc ect...

Answer 9

@anum,
Well done

Answer 10

Could you clarify what you mean by "will i always use 2*pi if its sin tan csc". Use 2*pi for what?

Answer 11

like if it were 2sin(3x)+1

Answer 12

sorry to find the period

Answer 13

The same rule applies to both sine and cosine functions.
if f(x) = 2sin(3x) + 1
Amplitude = 2
Period = 2pi/3
Phase shift = 0 (since the C term is missing when comparing it to Asin(Bx - C) + D).
Vertical shift = 1.

The sine and cosine functions and therefore sec and csc functions have a period of 2pi. So you will use 2pi/B to find the period for these four trig functions. Eg.: sec(5x) has a period of 2pi/5.

Answer 14

tan and cotangent functions have a period of pi.
So tan(3x) or cot(3x) has a period of pi / 3.

Answer 15

@aum thank you so much!!!

Answer 16

You are welcome.