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In a right angled triangle, the tan of an angle is the ratio of the lengths of the opposite side to the adjacent side.
More generally, on a coordinate plane, draw a circle with its centre at the origin and radius = 1. Draw a line at the required angle from the x-axis, measured in an anticlockwise direction. Suppose this line meets the unit circle at the point whose coordinates are (a,b). Then the tan of the angle is b/a. Make sure that both a and b have their appropriate signs.
An analytical definitions of tan(x), where x is an angle measured in radians does exist but it is rather complicated - and limitations of this browser make it even more difficult to explain. However, using the identity
tan(x) = sin(x) /cos(x)
tan(x) can be derived as the ratio of sine and cosine, where these are defined as the following infinite sums:
sin(x) = x/1! - x3/3! + x5/5! - x7/7! + ...
and
cos(x) = 1 - x2/2! + x4/4! - x6/6! + ...
What else can I help you with?
He tangent of an angle equals the ratio of the?
opposite/ adjacent
The ratio of the opposite adjacent sides of a right triangle?
Tangent
What is the ratio of the length of the opposite leg to the length of the adjacent?
Oh, dude, you're talking about trigonometry now! The ratio of the length of the opposite leg to the length of the adjacent leg in a right triangle is called the tangent of the angle. It's calculated by dividing the length of the opposite side by the length of the adjacent side. So, like, if you're trying to find that ratio, just remember to divide and conquer!
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.
A ratio of the lengths of two sides of a right triangle?
Sine Cosine Tangent Cotangent Secant Cosecant
Can you use the tangent ratio to find the length of the hypotenuse?
No; the tangent ratio only deals with the lengths of the opposite side and adjacent side. You can square the two sides and add them together, then find the square root of the sum to find the length of the hypotenuse.
What is the tangent ratio?
of what?
What is the definition of the tangent ratio for a right triangle?
The tangent ratio for a right angle triangle is opposite/adjacent.
Is the tangent ratio number is greater than one?
The tangent ratio can take any real value.
What is the ratio used to find the tangent of a triangle In trigonometry what three common ratios are used to find the measures of the angles and sides of triangles?
financial ratio
What is a tangent ratio?
The tangent is the ratio of sine over cosine; also, in a unit circle, Y over X.
What is tangent in trigonometry?
Tangent is the ratio between perpendicular to the base of the triangle.
In math What is the difference between tan and tan-1?
In mathematics, "tan" refers to the tangent function, which calculates the ratio of the opposite side to the adjacent side in a right triangle for a given angle. On the other hand, "tan⁻¹" (or arctan) is the inverse tangent function, which takes a ratio and returns the angle whose tangent is that ratio. Essentially, while tan gives you the tangent of an angle, tan⁻¹ helps you find the angle when you know the tangent value.
Find the angle with tangent ratio of 0.4877?
tan-1(0.4877) = 25.99849161 or about 26 degrees
The tangent of an angle equals the ratio of the what?
in a right trianlge the tangent is the ratio of Opposite/Adjacentcosine is Adjacent/Hypotenusesine is Opposite/Hypotenuse
What is the tangent ratio of 0.4877?
It is a ratio of 0.4877 : nothing else.
Which ratio describes the tangent function?
The ratio of sine and cosine.
