Quandaries and Queries
Who is asking: Student
I am stuck on this question having many parts, the problem is I know how to do all the parts once i get through the fist line!!!
here it is..(the first part)
Q : Sketch the graph of y = 1 - sin(x+60). for 0 <= x<= 360, giving the coordinates of the maximum and minimum points and the pints where the curves crosses the y axis.
<= means 'less than equal to'
This is an AS level question.
Please help me soon, because I am studying through correspondense and there are not many to help me here. Thank you so much!!!
I am going to build the graph from the graph of the
sine function. I see the sine function as the graph
y = sin(angle)
where the graph crosses the horizontal axis when the angle is 0, 180, 360, ... (I put a red dot on the horizontal axis at 60 degrees.)
For a graph of sin(x + 60) with 0 <= x<= 360,
the angle starts at 60 degrees and ends at 360 + 60 = 420 degrees.
Thus the graph of y = sin(x + 60) for 0 <= x<= 360
y = sin(x + 60)
But you need y = - sin(x + 60), so all the positive
values of y become negative and the negative values become positive. Hence
the graph is
y = - sin(x + 60)
One last step. What you want is y = 1 - sin(x + 60),
so you need to add 1 to each y-value on the graph. Hence the final graph
y = 1 - sin(x + 60)