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Q: Why is sine vertical and cosine horizontal?
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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.


How would you explain how to find sine and cosine within each quadrant of a unit circle?

To find the sin/cos at a given point on the unit circle, draw a radius to that point. Then break the radius into components - one completely horizontal and one completely vertical. The sine is the vertical component, the cosine is the horizontal component.


Advantages of sine and cosine functions?

Advantages of sine and cosine functions are in developing or creating plane analytic geometry. These functions are also beneficial in developing complex number plane, emphasizing scaling, rotation and reflection symmetries. which complement vertical and horizontal shifts.


How can a force be resolved in to rectangular components?

A force can be resolved into rectangular components by identifying its horizontal and vertical components. This can be done using trigonometry, specifically sine and cosine functions. The horizontal component is found by multiplying the magnitude of the force by the cosine of the angle it makes with the horizontal axis, and the vertical component is found by multiplying the magnitude of the force by the sine of the angle.


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.


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.)


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 are ratios for sin and cosine alike?

sin(x) = cos(pi/2 - x). Thus sine is simply a horizontal translation of the cosine function. NB: angles are measured in radians.


How do you find sine cosine and tangent of 210 degrees?

Sine = -0.5 Cosine = -0.866 Tangent = 0.577