Enter the opposite side length and the adjacent side length into the Tangent Ratio Calculator. The calculator will evaluate and display the Tangent Ratio.
Tangent Ratio Formula
The following formula is used to calculate the Tangent Ratio.
TANR = O / A
- Where TANR is the Tangent Ratio
- O is the opposite side length
- A is the adjacent side length
To calculate the tangent ratio, divide the opposite side length by the adjacent side length.
How to Calculate Tangent Ratio?
The following example problems outline how to calculate Tangent Ratio.
Example Problem #1:
- First, determine the opposite side length.
- The opposite side length is given as: 21.
- Next, determine the adjacent side length.
- The adjacent side length is provided as: 16.
- Finally, calculate the Tangent Ratio using the equation above:
TANR = O / A
The values given above are inserted into the equation below and the solution is calculated:
TANR = 21 / 16 = 1.3125 ( )
FAQ
What is the Tangent Ratio used for in real life?
The Tangent Ratio is widely used in real life for various applications, including engineering, architecture, and navigation. It helps in determining the slope of a terrain, the height of an object when the distance from it is known, and in solving problems related to angles and distances in trigonometry.
Can the Tangent Ratio be greater than 1?
Yes, the Tangent Ratio can be greater than 1. This occurs when the opposite side length is greater than the adjacent side length. The value of the tangent function varies from negative infinity to positive infinity, passing through all real numbers.
How does the Tangent Ratio differ from other trigonometric ratios?
The Tangent Ratio is unique because it is the ratio of the opposite side to the adjacent side in a right-angled triangle, unlike the Sine Ratio, which is the ratio of the opposite side to the hypotenuse, and the Cosine Ratio, which is the ratio of the adjacent side to the hypotenuse. Each trigonometric ratio provides different information about the angles and sides of a triangle, making them useful for various calculations in trigonometry.
