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What is the domain of cosine?
The domain of cosine is all real numbers, its range is [-1,1], and its period is 2π radians.
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 is cosine 0?
Cosine (0) = 1 Sin(0) = 0 The sine and cosine curves are two intertwining curves, that complement each other, hence the words 'Sine (Curve) and Cosine ( COmplementary Curve).
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
What is the relationship between the tan and cot?
Cotangent is 1 / tangent. Since tangent is sine / cosine, cotangent is cosine / sine.
What is the sine and cosine of real numbers?
yes.
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.
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.
How do you find the max and min of sine cosine functions?
The maximum of the sine and cosine functions is +1, and the minimum is -1.
How do you find the hypotenuse with a cosine and or sine?
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
Sine plus cosine equals?
There is no real significance to sine plus cosine, now sin2(x) + cos2(x) = 1 for any x, where sin2(x) means to take the sign of the number, then square that value.
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.)
