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

Mathematics
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|dw:1443175286976:dw|
The 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,
those two points correspond to half pi and 3 halvs pi

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basically, you can't find the tangent of a vertical angle
because the sin of that angle goes to zero as you get closer to the undefined angles
so its just zero? @DanJS
|dw:1443210995349:dw| The tangent is the ratio of the side oposite the angle over the side adjacent to the angle
For the angle, if the adjacent side is zero, then you have an undefined fraction, something/zero
When is the adjacent side zero?? look at the unit circle here....
|dw:1443211128886:dw|
since 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
the tangent is undefined when cos(A) = X = 0 You will have a zero in the denominator, undefined
So for what angles is the x coordinate on the circle equal to zero....
|dw:1443211429209:dw|
pi/2 and 3pi/2
90 and 270
oh, they must be just staying in the first quadrant, so just half pi, C
good ??
thanks so much!!! @DanJS

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