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What trig ratio is the opposite side of adjacent angles?

The trigonometric ratio that relates the opposite side to the adjacent side of a right triangle is the tangent function. Specifically, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. This is expressed mathematically as ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ).


What The of an angle is the ratio of the opposite leg length to the adjacent leg length.?

The ratio of the opposite leg length to the adjacent leg length of an angle is known as the tangent of that angle. In trigonometric terms, for a right triangle, if θ is the angle, then tangent (tan θ) is defined as tan θ = opposite/adjacent. This relationship is fundamental in trigonometry and is used in various applications, including solving triangles and modeling periodic phenomena.


How do you find the adjacent side's length if you have the angle and the opposite side length?

To find the adjacent side's length in a right triangle when you have the angle and the opposite side's length, you can use the tangent function. The tangent of the angle is equal to the ratio of the opposite side to the adjacent side: ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ). Rearranging this formula gives you the adjacent side's length: ( \text{adjacent} = \frac{\text{opposite}}{\tan(\theta)} ). Simply plug in the values for the opposite side and the angle to calculate the adjacent side's length.


How do you find the width and length of a rectangle knowing ONLY the diagonal and its angle?

By using the trigonometric ratios of Sine and Cosine. The diagonal forms the hypotenuse of a right angled triangle with the length and width of the rectangle forming the other two sides of the triangle - the adjacent and opposite sides to the angle. Then: sine = opposite/hypotenuse → opposite = hypotenuse x sine(angle) cosine = adjacent/hypotenuse → adjacent = hypotenuse x cosine(angle)


In a right triangle the of an angle is the length of the opposite side divided by the length of the adjacent side.?

Yes because tangent = opposite/adjacent


What angle is the ratio of the opposite leg length to the adjacent leg length?

Its Tangent, APEX "The tangent of an angle is the ratio of the opposite leg length to the adjacent leg length."


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 of an angle is the ratio of the opposite leg length to the adjacent leg length?

The ratio of the opposite leg length to the adjacent leg length of an angle in a right triangle is known as the tangent of that angle. Mathematically, it is expressed as ( \tan(\theta) = \frac{\text{opposite}}{\text{adjacent}} ). This relationship is fundamental in trigonometry and is used to determine angles and side lengths in right triangles.


What is trigonometry formula?

Trigonometry is an extremely large field (and a branch of geometry) which deals with the elucidation of the sides of a triangle based on its angles. Some common trigonometric ratios (relating to a right-angled triangle) are as follows: sine of an angle = length of opposite side/length of hypotenuse cosine of an angle = length of adjacent side/length of hypotenuse tangent of an angle = length of opposite side/length of adjacent side Of course other trigonometric ratios exist, such as cotangent, cosecant, secant of the angles. In addition, formulae such as the Sine Rule and Cosine Rule exist to allow us to elucidate the length of an unknown side based on its opposing angle and at least one other side. As this question is relatively vague, I'm afraid that I cannot provide any further assistance in this respect.


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.


In a triangle if all degrees are known and one side length is known how do you find out the other two sides length?

TrigonometryPlug in your value for the sides to find the angle. Opposite and adjacent refer to the location of the angle. For example, to find the angle opposite one side and adjacent to another, use the tangent trigonometric identity. To find the angle opposite one side and with the hypotenuse side, use the sine.sin(x) = opposite side/ hypotenuse sidecos(x) = adjacent side/ hypotenuse sidetan(x) = opposite side/ adjacent sidetan(x) = sin(x)/cos(x)Remember the acronymSOH CAH TOAS O Hi p yn p pe o os ti et ne use


Does a rectangle has adjacent sides equal?

No, a rectangle has opposite side which are equal in length.