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Why is the sine and cosine of a number no less than 1 and no greater than 1?
Wiki User
∙ 12y ago
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)
Wiki User
∙ 12y ago
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Which trigonometric functions always have values less than 1?
The sine and the cosine are always less than one.
What is cosine squared theta equal to'?
Cosine squared theta = 1 + Sine squared theta
What is the derivative of negative cosine?
The derivative of negative cosine is positive sine.
What does sin mean in trig?
its short for sine. theres sine, cosine, and tangent. sine is opposite over adjacent for the sides of a triangle (or angles)
What are the contributions of Leonhard Euler in complex numbers?
One of the most significant contribution is Euler's Formula which relates the value eiθ to sine and cosine. Mainly,when θ = wt (w is omega, representing frequency, and t is time)Aeiwt = Acos(wt)+Aisin(wt), where cosine is the "real" portion of the number and "sine" is the imaginary.Another way to think of this is by making an axis system where real numbers are on the horizontal (x-axis) and imaginary number are on the vertical (y-axis) then the cosine value would be the number on the x-axis and the sine would be the number on the vertical axis. (This is similar to how you disect the unit circle.)
What trigonometric ratios cannot be greater than one?
Sine and cosine.
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 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 .
If two integers have the same sign what is the sine of their sum?
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
How do you find the cosine and the sine?
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
What are the Differentiate the sine wave and cosine wave?
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
How does the tangent function relate to sine and cosine?
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
Why are sine and cosine functions used to describe periodic?
because sine & cosine functions are periodic.
Which trigonometric functions always have values less than 1?
The sine and the cosine are always less than one.
How do you find sine cosine and tangent of 210 degrees?
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
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)
