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Sine = Opposite divided by Hypotenuse Opposite is the side of the triangle opposite the angle (in this case the 90o angle). Hypotenuse is the side opposite the right angle in a right angle triangle. Therefore, Sine 90 = 1 because the opposite side and the hypotenuse are the same side, they are both opposite the right angle.

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Q: Why is the sine of 90 degrees equal to 1?
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Is the sine of an acute angle is greater that 1?

No. The sine of an acute angle is less than 1. An acute angle is less than 90 degrees. The sine of 0 degrees is 0, and the sine of 90 degrees is +1. So the sines of the angles between 0 degrees and 90 degrees are less than 1.


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.


Does the sine of an angle decreases as the angle increases from 0 degrees to 90 degrees?

No. As the angle increases from zero to 90 degrees,its sine increases from zero to '1'.


What is the co-secant of 90 degrees?

cosecant = 1/sine csc 90 deg = 1/(sin 90 deg) = 1/1 = 1


What is the sign for 90 degrees for angles?

The sign for a 90 degree is a small, perpendicular mark in the corner of the angle, to form a box with the angle.Also, the sine of 90 degrees is 1


What is the value of the sin?

If you mean the sine function, it is dependent on an angle. For example, the sine of an angle of zero degrees is zero; the sine of an angle of 90 degrees is one; for an angle of 180 degrees, the sine is again 0; if you make a graph, you get a curve that looks like a wave. In general, the values the sine function can take are between 1 and -1, inclusive.


What is the sine of 810?

sine 810 = sine 90 = 1


What is the sine of 20 degrees?

sine-1(0.3420201433) = 20 degrees


The hypotenuse of a 30 - 60 - 90 triangle measures 2 feet How long is the short leg of this triangle?

Use the sine ratio: sine 30 degrees = opposite/hypotenuse Then: opposite = 2*sine 30 degrees Answer: 1 foot


If sine is opposite over hypotenuse it is easy to calculate any angle except 90 degrees If sine of 90 equals 1 does this not mean that infinity divided by infinity equals 1?

You are referring to a special case of shape its called a line


Why sine of an acute angle cannot be greater than 1?

The sine function outputs values between -1 and 1 for all angles. As the angle of a right triangle approaches 90 degrees, the length of the opposite side relative to the hypotenuse also approaches the length of the hypotenuse, which is the limit when sine = 1. Any angle below 90 degrees will have a ratio of opposite/hypotenuse less than or equal to 1.


What fraction of a turn is equal to 90?

90 degrees = 1/4 of a turn