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anonymous
 one year ago
for what value of x is tanx underfined?
a. 0
b. pi/8
c. pi/2
d. pi/4
e. pi
anonymous
 one year ago
for what value of x is tanx underfined? a. 0 b. pi/8 c. pi/2 d. pi/4 e. pi

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IrishBoy123
 one year ago
Best ResponseYou've already chosen the best response.0dw:1443175286976:dw

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2The tangent of an angle is also the ratio of the sin/cos If you consider the unit circle, where the hypotenuse of any triangle is 1, then each point on the circle is (x,y) = (cos(angle), sin(angle)) so you can call the tangent in that case , tan(angle) = y / x if the x coord is zero, the tangent at that angle is not defined, which occures at points (0,1) and (0,1) on the circle,

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2those two points correspond to half pi and 3 halvs pi

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2basically, you can't find the tangent of a vertical angle

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2because the sin of that angle goes to zero as you get closer to the undefined angles

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so its just zero? @DanJS

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2dw:1443210995349:dw The tangent is the ratio of the side oposite the angle over the side adjacent to the angle

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2For the angle, if the adjacent side is zero, then you have an undefined fraction, something/zero

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2When is the adjacent side zero?? look at the unit circle here....

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2since the radius is 1 for this , every point on the circle is x = cos(A) and y = sin(A) Tangent(A) = Sin(A) / Cos(A) = y / x

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2the tangent is undefined when cos(A) = X = 0 You will have a zero in the denominator, undefined

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2So for what angles is the x coordinate on the circle equal to zero....

DanJS
 one year ago
Best ResponseYou've already chosen the best response.2oh, they must be just staying in the first quadrant, so just half pi, C

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thanks so much!!! @DanJS
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