Asked by Anonymous
Y=2sinx-cosx on [0, 2pi]
Find x- and y-intercepts
Find x- and y-intercepts
Answers
Answered by
Anonymous
y=2sin(x)-cos(x)
so when x=0
y=2sin(0)-cos(0)
y=0-1
y=-1
and when y=0
0=2sin(x)-cos(x)
cos(x)=2sin(x)
cos(x)/sin(x)=2
cot(x)=2
x=cot^-1(2)
x=26.5651 which is not between 0 and 2 pi
so when x=0
y=2sin(0)-cos(0)
y=0-1
y=-1
and when y=0
0=2sin(x)-cos(x)
cos(x)=2sin(x)
cos(x)/sin(x)=2
cot(x)=2
x=cot^-1(2)
x=26.5651 which is not between 0 and 2 pi
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