# SOLUTION: For what numbers <font face = "symbol">q</font>, 0&#8806;<font face = "symbol">q</font>&#8806;2<font face = "symbol">p</font> does cos<font face = "symbol">q</font> = 1? Can you

Algebra ->  Algebra  -> Trigonometry-basics -> SOLUTION: For what numbers <font face = "symbol">q</font>, 0&#8806;<font face = "symbol">q</font>&#8806;2<font face = "symbol">p</font> does cos<font face = "symbol">q</font> = 1? Can you       Log On

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 Click here to see ALL problems on Trigonometry-basics Question 550923: 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. Answer by Edwin McCravy(8924)   (Show Source): 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```