anonymous
  • anonymous
for what value of x is tanx underfined? a. 0 b. pi/8 c. pi/2 d. pi/4 e. pi
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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IrishBoy123
  • IrishBoy123
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DanJS
  • DanJS
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,
DanJS
  • DanJS
those two points correspond to half pi and 3 halvs pi

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

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