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Sine and cosine are both trigonometric functions that relate to angles in a right triangle, but they represent different ratios. The sine function, denoted as sin(θ), gives the ratio of the length of the opposite side to the hypotenuse, while the cosine function, denoted as cos(θ), gives the ratio of the length of the adjacent side to the hypotenuse. In the unit circle, sine corresponds to the y-coordinate and cosine corresponds to the x-coordinate of a point on the circle at a given angle. This fundamental difference leads to distinct properties and applications in various fields such as physics, engineering, and mathematics.
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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).
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.
What is difference of using sine to cosine and tangent?
They are different trigonometric functions!
Do the equations sine plus cosine and sine squared plus cosine squared both equal 1?
No, they do not.
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.
What is difference of using sine to cosine and tangent?
They are different trigonometric functions!
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
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 the derivative of negative cosine?
The derivative of negative cosine is positive sine.
