SOLUTION: For what numbers <font face = "symbol">q</font>, 0≦<font face = "symbol">q</font>≦2<font face = "symbol">p</font> does cos<font face = "symbol">q</font> = 1?
Can you
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-> SOLUTION: For what numbers <font face = "symbol">q</font>, 0≦<font face = "symbol">q</font>≦2<font face = "symbol">p</font> does cos<font face = "symbol">q</font> = 1?
Can you
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You can put this solution on YOUR website! For what numbers q, 0≦q≦2p does cosq = 1?
Can you please show me a step by step instruction on how you solve this problem.
On the unit circle, each point is (cos(q),sin(q)), where q is the angle between
the right hand side of the x-axis and the radius drawn to that
point:
So you want to know where cosq = 1.
Since the x-coordinate of every point on the unit circle IS the
cosine of the angle that the radius to that point makes with
the right side of the x-axis, we are looking for a point on that
circle with an x-coordinate of 1. There is only one point on
the unit circle that has its x-coordinate as 1, and that is the
point (1,0)
and the value of q there is either 0 or 2p.
So that's the answer. q = 0 or 2p.
Edwin
