Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.tangent, 90, degreestan90 ∘
Question
Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.tangent, 90, degreestan90 ∘
Solution 1
The tangent of 90 degrees is undefined. This is because in the unit circle, a 90 degree angle points straight up along the y-axis. The tangent of an angle in the unit circle is defined as the y-coordinate divided by the x-coordinate (sin/cos). At 90 degrees, the coordinates are (0,1), so the tangent is 1/0, which is undefined.
Solution 2
The question seems to be asking for the value of the tangent of 90 degrees.
In the unit circle, an angle of 90 degrees corresponds to a point at the top of the circle. The coordinates of this point are (0,1).
The tangent of an angle in the unit circle is defined as the y-coordinate divided by the x-coordinate.
So, the tangent of 90 degrees is 1 divided by 0.
However, division by zero is undefined in mathematics. Therefore, the tangent of 90 degrees is undefined.
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