answersLogoWhite

0


Best Answer

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

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why are the sine and cosine of an angle always less than 1?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Trigonometry

How do you find an angle using sine cosine tangent?

If you know the angle's sine, cosine, or tangent, enter it into the calculator and press <inverse> sine, cosine, or tangent. On MS Calc, in Scientific Mode, using Degrees, enter 0.5, then check Inv and the press sin. You should get 30 degrees. The other functions work similarly.


What is the difference between negative sine and cosine graphs and positive sine and cosine graphs?

The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.


What are the trigonometric function of an acute angle?

The trigonometric functions are sine, cosine and tangent along with their reciprocals and the inverses. Whether the angle is acute or obtuse (or reflex) makes no difference).


A tree 40 feet high casts a shadow 58 feet long find the measure of the angle of elevation of the sum?

Tangent (theta) is cosine / sine, or Y / X.Tangent (theta) is 40 / 58Theta = 34.6 degreesSince we are dividing cosine by sine, the hypotenuse does not matter as it cancels out.


Half range sine and cosine series?

half range cosine series or sine series is noting but it consderingonly cosine or sine terms in the genralexpansion of fourierseriesfor examplehalf range cosine seriesf(x)=a1/2+sigma n=0to1 an cosnxwhere an=2/c *integral under limits f(x)cosnxand sine series is vice versa

Related questions

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

Well, the easiest way to go at it is simply to remember thatthe sine and cosine of any angle are always less than 1 .


The tangent of an angle equals the ratio of the?

Sine of the angle to its cosine.


The tanget of an angle equals the ratio of the?

Sine and the cosine of the angle.


Which trigonometric functions always have values less than 1?

The sine and the cosine are always less than one.


Where to use sine and cosine in physics?

The sine, cosine and tangent are used to find the degrees of a right angle triangle.


How do you find the hypotenuse with a cosine and or sine?

For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine


What angle is Sine and cosine equal?

at a 45 degree angle, or pi/4


Which angle has a negative sine and a positive cosine?

All the angles in 4th quadrant have positive cosine and negative sine e.g. 280,290,300,310...etc.


What is the cosine function about?

The cosine function is mathematical equation to determine the adjacent angle of a triangle. The cosine of an angle is the ratio of the length of the hypotenuse: so called because it is the sine of the co-angle.


What is the horizontal velocity of 25 degrees?

Multiply the speed by the cosine of the angle (25 degrees in this case). For the vertical velocity, multiply by the sine of 25 degrees.Multiply the speed by the cosine of the angle (25 degrees in this case). For the vertical velocity, multiply by the sine of 25 degrees.Multiply the speed by the cosine of the angle (25 degrees in this case). For the vertical velocity, multiply by the sine of 25 degrees.Multiply the speed by the cosine of the angle (25 degrees in this case). For the vertical velocity, multiply by the sine of 25 degrees.


Is 35 degrees cos or sin?

Every angle has a sine and a cosine. The sine of 35 degrees is 0.57358 (rounded) The cosine of 35 degrees is 0.81915 (rounded)


What is the derivation of the wave function?

A simple wave function can be expressed as a trigonometric function of either sine or cosine. lamba = A sine(a+bt) or lamba = A cosine(a+bt) where lamba = the y value of the wave A= magnitude of the wave a= phase angle b= frequency. the derivative of sine is cosine and the derivative of cosine is -sine so the derivative of a sine wave function would be y'=Ab cosine(a+bt) """"""""""""""""""" cosine wave function would be y' =-Ab sine(a+bt)