Or, in other words for any angle associated with a point on the unit circle. Sine and cosine functions are never undefined on unit circle.
They are defined at every point of a unit circle. Because according to definitions of Sine and cosine, cosine is the x-coordinate of a point moving along unit circle. In this case, the tangent would be the opposite side, which is 1, upon the adjacent side, which is also 1, since the angle is 45 degrees. Why is secant 90 undefined? Asked by: Lera Roberts. What does it mean when tangent is undefined?
What angle is secant undefined? What is secant equal to? Why is sec undefined? What is the value of Cosec 90 degree? What trig functions can return with undefined? Is secant always positive? What is secant graph? View Trigonometry Tutors. Taha Certified Tutor. Mercer University, Bachelor of Science, Physics.
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As the point on the circle changes, the angle changes, since the point is on the terminal side of the angle. As the angle changes, the length of each of the segments it determine changes.
As the length of the segment changes, the trig function changes. Open the page in the box above to see this work! For a radius other than one, the ratios below must be used to scale up or down the size of the circle and yield the value of the function. For more on this read The Unit Circle.
The segment AB is side r and the hypotenuse of the right triangle and is still the radius of the circle on which point x,y lies, and still the distance from the point to the origin.
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