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Sine and cosine functions represent the ratios of the lengths of sides of a right triangle relative to the hypotenuse. Since these ratios involve the lengths of the triangle's legs (which are always shorter than or equal to the hypotenuse), the values of sine and cosine cannot exceed 1. Additionally, on the unit circle, the coordinates of any point (x, y) are constrained within the range of -1 to 1, which further reinforces that the maximum and minimum values of sine and cosine are also limited to this range.

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3w ago

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Which trigonometric functions always have values less than 1?

The sine and the cosine are always less than one.


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 .


What is cosine of 3?

Undefined!!!! Can't answer it! All sine and cosine values are between -1 and 1 !!!


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.


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.


How is the value of sine and cosine of complementary angles relate?

The sine and cosine of complementary angles are related through the identity (\sin(90^\circ - \theta) = \cos(\theta)) and (\cos(90^\circ - \theta) = \sin(\theta)). This means that the sine of an angle is equal to the cosine of its complementary angle, and vice versa. Therefore, for any angle (\theta), the values of sine and cosine are essentially swapped when considering complementary angles.


Why are the sine and cosine of an angle always less than 1?

Since the hypotenuse (denominator) is always greater than the opposite or adjacent side (numerator), the ratio will always be smaller than one.


Why are sine and cosine functions used to describe periodic?

because sine & cosine functions are periodic.


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