Remember that -1<_ sin(x/2) <_1Arithela said:how do you generally find the range of trigonometric functions? (so you can sketch the graph)
eg find the range of the function y = 1 +2sin(x/2) for 0 < x < 4pi
the range of a sin/cos function is -1 -> 1Arithela said:how do you generally find the range of trigonometric functions? (so you can sketch the graph)
eg find the range of the function y = 1 +2sin(x/2) for 0 < x < 4pi
the amplitude of the graph is 2, the graph is shifted up 1, so the range would be -1<y<3, their meant to be greater/less than or equal to signs but i dont know how to do that on the computer. hope that helpsArithela said:how do you generally find the range of trigonometric functions? (so you can sketch the graph)
eg find the range of the function y = 1 +2sin(x/2) for 0 < x < 4pi
-2 < y < 4 (where < stands for equal to or larger)Arithela said:what is the range of 1 -3cos2x?
do we have to change signs because its negative?
the minimum of a cos function is the negative of the maxmimum (-1 and 1 respectively), you if you change the signs you end up with the same thing anywayArithela said:what is the range of 1 -3cos2x?
do we have to change signs because its negative?