Question

G(x)= 4Sin((pi)(x))-3
Solve:
((Pi)(x))-3=0
and
((Pi)(x))-3 = (2)(PI)
Please help.

Answer 1

well start with the basics

add 3 to both sides of the equation

next divide both sides of the equation by 4

find sin^-1 of (3/4)

then divide by pi

I'll assume you're working in radians

Answer 2

I'm trying to find the interval of the sin graph using the two bottom equations

Answer 3

I got 3/pi and 5 as my two answers. I don't know if they're correct.

Answer 4

well the way I read the question, you are looking for an angle

so

\[\pi \times x = \sin^{-1}(\frac{3}{4})\]

so

\[\pi \times x = 0.8481r\]

and then solve for x from there

Answer 5

The question asks me to graph this equation on the same graph as F(x)=4sin (pi)(x)

Answer 6

I know that the amplitude is 4 and that the period is 2 but i don"t know the intervals to graph the G(x) equation

Answer 7

the amplitude is 4, and the period 2, the curve is centred on y = -3

so the range is 1 to -5

so the solution above gives the 1st quadrant value in radians where the curve is equal to zero. There is also a solution in the 2nd quadrant.

the angle can be found by using

\[(\pi - x) ... radians\]

hope this helps.