Sine and cosine are fundamental trigonometric functions that relate the angles of a right triangle to the ratios of its sides. For a given angle in a right triangle, the sine function (sin) is defined as the ratio of the length of the opposite side to the hypotenuse, while the cosine function (cos) is the ratio of the length of the adjacent side to the hypotenuse. These functions are also defined for all real numbers using the unit circle, where sine corresponds to the y-coordinate and cosine corresponds to the x-coordinate of a point on the circle. They are widely used in mathematics, physics, and engineering to model periodic phenomena.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
No, they do not.
The maximum of the sine and cosine functions is +1, and the minimum is -1.
Sine(A+ B) = Sine(A)*Cosine(B) + Cosine(A)*Sine(B).
Sine= Opposite/ Hypotenuse Cosine= Adjacent/ Hypotenuse
The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.
Tangent = sine/cosine provided that cosine is non-zero. When cosine is 0, then tangent is undefined.
because sine & cosine functions are periodic.
Sine = -0.5 Cosine = -0.866 Tangent = 0.577
No, they do not.
The maximum of the sine and cosine functions is +1, and the minimum is -1.
For a right angle triangle:- hypotenuse = adjacent/cosine or hypotenuse = opposite/sine
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.
Cosine squared theta = 1 + Sine squared theta
The derivative of negative cosine is positive sine.