The sign is >.
Sine is a trigonometric function.
No angle has a sine function greater than 1.
the sine of an angle can't be greater than 1.0
Sine and cosine.
no - nor less than minus 1.
Sine and cosine cannot be greater than 1 because they are the Y and X values of a point on the unit circle. Tangent, on the other hand, is sine over cosine, so its domain is (-infinity,+infinity), with an asymptote occurring every odd pi/2.
It's not. The sine of 32 degrees is approximately 0.53. The sine of 59 degrees is approximately 0.86. For a definition of sine, see: http://en.wikipedia.org/wiki/Trigonometric_function .
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.
If you look at the definition of the sine function in a triangle, you'll discover that the maximum possible value of the sine function is ' 1 ' and the minimum possible value is ' -1 '. There's no angle that can have a sine greater than ' 1 ' or less than ' -1 '. So the absolute value of the sine of anything is always ' 1 ' or less.
lol! it can be less than 1 too, upto -1! it cannot be greater than 1 because hypotenuse is always longer than the adjacent and opposite side... (from pythagoras theorem)
The sine of an angle x is defined as the ratio of the opposing side to the hypotenuse, in a right triangle having x as one of its acute angles. If it was greater than 1, it would mean the opposing side was longer than the hypotenuse. Try to draw a right triangle with one of the sides longer than the diagonal. You'll notice it's impossible. So the sine cannot be greater than 1. Fitting the triangle into a circle of radius 1, such that the angle x is located at the origin and the hypotenuse is a radius of the circle, you can define "sine of x" for any angle. Since the triangle may end up flipped in any direction, including the negative x and y axis, it turns out that the sine of any number is between -1 and +1. The cosine is simply the sine of the complementary angle (90 - x). So it must also be contained between -1 and +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.
The sine of an angle between 0 and 180 degrees is positive. The sine of an angle between 180 degrees and 360 degrees is negative. At 0, 180 and 360 degrees the sine is 0.The sine is a periodic function with period 360 degrees, so angles differing by a multitude of 360 degrees have the same sine. Hence, for instance, the sines of the angles 0, 360, 720, ... are equal, namely 0.In any right triangle the sine of one of the non-right angles will be positive, since these are greater than 0 and less than 90 degrees.