Given y = 3 3 x a. What angle does the line y = 3 3 x make with the positive x -axis ? b. Suppose that the x - and y -axes are rotated through an angle of 30 ° to form the x ' - and y ' -axes . Write the equation y = 3 3 x in terms of x ' and y ' . c. Suppose that the x - and y -axes are rotated through an angle of 60 ° to form the x ' - and y ' -axes . Write the equation y = 3 3 x in terms of x ' and y ' .
Given y = 3 3 x a. What angle does the line y = 3 3 x make with the positive x -axis ? b. Suppose that the x - and y -axes are rotated through an angle of 30 ° to form the x ' - and y ' -axes . Write the equation y = 3 3 x in terms of x ' and y ' . c. Suppose that the x - and y -axes are rotated through an angle of 60 ° to form the x ' - and y ' -axes . Write the equation y = 3 3 x in terms of x ' and y ' .
Solution Summary: The author calculates the angle made by the line, y=sqrt33, with the positive x-axis. The distance formula to find the distance between two
a. What angle does the line
y
=
3
3
x
make with the positive
x
-axis
?
b. Suppose that the
x
-
and
y
-axes
are rotated through an angle of
30
°
to form the
x
'
-
and
y
'
-axes
. Write the equation
y
=
3
3
x
in terms of
x
'
and
y
'
.
c. Suppose that the
x
-
and
y
-axes
are rotated through an angle of
60
°
to form the
x
'
-
and
y
'
-axes
. Write the equation
y
=
3
3
x
in terms of
x
'
and
y
'
.
University Calculus: Early Transcendentals (4th Edition)
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