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Because the tangent is a function of with the angle as its argument.

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Q: Why does the tangent of a particular angle always have the same value?
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Related questions

What is the tangent of an angle a?

Angle a, by itself has no value. You must first assign a value to a to get the value of tan a.


How tall is a boy that casts a 4 ft shadow?

The height of a boy that casts a 4 foot long shadow depends on the angle of the sun. A tangent can be used to calculate his height if we know the angle of the sun using the equation: Height = shadow length x tangent of the angle of the sun. Using a calculator, it is easy to get the value of the tangent for any angle and then complete the equation.


Convert degrees into a percent?

To obtain the percent value for an angle (in slopes and inclines), calculate the tangent of that angle in degrees, then multiply the figure by 100.


If you divide length of the opposite side of an angle in a right triangle by the length of the adjacent side what value do you get?

It is a tangent.


What is the function which outputs an angle when a tangent value is input?

The inverse tangent, also called the arc-tangent.


What is the value of tan 37.5?

The tangent of 37.5 degrees is 0.76732698797. The angle 37.5 degrees is 5 pi/24 radians.


What is inverse tangent?

It is a function which maps the tangent ratio - any real value - to an angle in the range (-pi/2, pi/2) radians. Or (-90, 90) degrees.If tan(x) = y then x is the inverse tangent of y.It is also known as "arc tangent", and spreadsheets, such as Excel, use "atan" for this function.Warning:1/tangent = cotangent is the reciprocal, NOT the inverse.


What is one tangent equal to?

Tangent is a function that can have any real value. Therefore one tangent can take any value in (-∞, ∞).


When is tan theta theta?

tan (theta x theta) : must square the value of the angle, theta, before applying the trig function, tangent.


What is the value of tan 1 upon 2?

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What is the sum of one interior angle of a hexagon?

It is the value of that particular angle, which can be any number between 0 and 360 degrees.


If the terminal side of an angle beta is in quadrant III what is the sign of each of the trigonometric function value of beta?

Tangent and cotangent positive; other 4 negative.