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Is sine greater than one

Anonymous

∙ 13y ago

Updated: 4/28/2022

No angle has a sine function greater than 1.

Wiki User

∙ 13y ago

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Why sinθ value is less then and equal to one?

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.

Why is the sine and cosine of a number no less than 1 and no greater than 1?

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)

Is one greater than zero?

Yes, one is greater than zero.

What is greater 0.2 or 1?

One is greater than .2 by .8. One is five times greater than .2.

Which trigonometric functions always have values less than 1?

The sine and the cosine are always less than one.

What trigonometric ratios cannot be greater than one?

Sine and cosine.

What is the sine for greater than?

The sign is >. Sine is a trigonometric function.

What is the size of an angle when the sine is 6352?

the sine of an angle can't be greater than 1.0

Why can tangent values be greater than 1 but sine and cosine values cannot be greater than 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.

Why is the sine of 32 degrees greater than the sine of 59 degrees?

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 .

Is it possible for the sine of an angle to be greater than 1?

no - nor less than minus 1.

Why sinθ value is less then and equal to one?

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.

Why are the sine and cosine of an angle always less than 1?

Since the hypotenuse (denominator) is always greater than the opposite or adjacent side (numerator), the ratio will always be smaller than one.

Why is the sine and cosine of a number no less than -1 and no greater than 1?

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.

Is the sine of an angle positive?

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.

Why is the sine and cosine of a number no less than 1 and no greater than 1?

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)

Is sine greater than one

Still curious? Ask our experts.

Add your answer:

Why sinθ value is less then and equal to one?

Why is the sine and cosine of a number no less than 1 and no greater than 1?

Is one greater than zero?

What is greater 0.2 or 1?

Which trigonometric functions always have values less than 1?

What trigonometric ratios cannot be greater than one?

What is the sine for greater than?

What is the size of an angle when the sine is 6352?

Why can tangent values be greater than 1 but sine and cosine values cannot be greater than 1?

Why is the sine of 32 degrees greater than the sine of 59 degrees?

Is it possible for the sine of an angle to be greater than 1?

Why sinθ value is less then and equal to one?

Is the sine of an acute angle is greater that 1?

Why are the sine and cosine of an angle always less than 1?

Why is the sine and cosine of a number no less than -1 and no greater than 1?

Is the sine of an angle positive?

Why is the sine and cosine of a number no less than 1 and no greater than 1?

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