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I'm not sure exactly what this question is asking, but I will attempt to answer.
An angle on the unit circle is created by drawing a straight line from the origin to a point on the circle.
The x-coordinate of a point corresponds to the cosine of the angle.
For example: cos(90o) = 0
The y-coordinate of a point corresponds to the sine of the angle.
For example: sin(270o) = -1
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Show diagramaticaly that sin90 is equal to one?
To show that sin(90 degrees) is equal to 1, we can use the unit circle. At 90 degrees, the point on the unit circle has coordinates (0, 1), where the y-coordinate represents the sine value. Since the y-coordinate is 1 at 90 degrees, sin(90 degrees) is equal to 1. This can be visually represented on the unit circle diagramatically.
Why is cotangent positive in the third quad?
If you are familiar with trigonometric functions defined in terms of the unit circle, the x and y coordinates are negative in the third quadrant. As a result, x/y, the ratio that defines cotangent, is positive.
Why is the cosine of 90 equal to 0?
That is the definition. If you take your unit circle (a circle with radius 1 centered at the origin (0,0). you start at (1,0) and go counterclockwise around the circle 90° you end up at (0,1) that 0 is the cosine of the angle 90° In fact, you don't even need the unit circle. Take a circle of any radius r, and draw a ray at 90 degrees. This will intersect the y-axis. So as above, the coordinates are (0,r) (instead of (0,1)) so cos(90 degrees)=x/r=0/r=0
What is cotangent of 270 degrees?
Firstly, with the unit circle (r=1) we need to know that:at 270 degrees our coordinates are (0, -1)sine(270 degrees) = -1cosine(250 degrees) = 0cotangent = cosine / sinetherefore: cot ( 270 degrees) = 0/-1 = 0The answer is 0.
Why does cos negative theta equals positive theta?
You must think of the unit circle. negative theta is in either radians or degrees and represents a specific area on the unit circle. Remember the unit circle is also like a coordinate plane and cos is the x while sin is the y coordinate. Here is an example: cos(-45): The cos of negative 45 degrees is pi/4 and cos(45) is also pi/4
