SOLUTION: Y=sin(2x+phi/3) Find The x-coordinate of the point A where the curve cuts the x axis

Question 1153893: Y=sin(2x+phi/3)
Find
The x-coordinate of the point A where the curve cuts the x axis
Found 2 solutions by Cromlix, ikleyn:
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi,
Where a curve cuts the x axis you make y = 0
Where a curve cuts the y axis you make x = 0
Y = sin(2x + pi/3)
sin(2x + pi/3) = 0
2x + pi/3 = 0, pi, 2pi, 3pi and 4pi (Extra angles due to presence of 2x)
2x = -pi/3, 2pi/3, 5pi/3, 8pi/3 and 11pi/3
x = -pi/6, pi/3, 5pi/6 4pi/3 and 11pi/6
I dont know your limits, but think it would be 0 <= x =<2pi
So A is liable to be pi/3.
Hope this helps. :-)
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

I came to make two notices.

First, "phi" in your condition is not "phi" ---- actually, it is "pi", instead. // Learn how to write it correctly (!)

By the way, yesterday was National (and International) "pi-day" (!)

Second, I want to correct the answer by other tutor:

if 0 <= x < 2*pi, then the solutions are these four values x = , , and .

RELATED QUESTIONS
find the equation of the normal to the curve y=x^2=4x at the point where x=-3. find the... (answered by Alan3354)
find the equation of the normal to the curve y=x^2-4x at the point where x=-3. find the... (answered by Alan3354)
Find x coordinate of the point on the graph y=square root of x+8 where the tangent line... (answered by greenestamps)
The equation of a curve is y = x^2/(x+2). The tangent to the curve at the point where x = (answered by MathLover1)
The curve y = e^x + 4e^-2x has one stationary point. Find the x-coordinate of this... (answered by rothauserc)
"A parabola has been drawn on a graph but there is information missing. The equation has... (answered by josgarithmetic)
1.Find the point P on the curve y = x^2 - 2x + 3, where the tangent is parallel to... (answered by josgarithmetic)
The graph of y=(x-2)(3-x) cuts the at A and B .it cuts the y-axis at c. Find The... (answered by josgarithmetic)
Find the co-ordinates of P, the point where the line 8x-3y+12=0 cuts the... (answered by josgarithmetic)