Calculate the secant of an angle of a right triangle. Enter the angle to calculate the ratio of the hypotenuse divided by the adjacent side of the triangle.
Sec X = H/A
- Where X is an angle in degrees or radians
- H is the length of the hypotenuse
- A is the length of the side adjacent to that hypotenuse
The secant can also be calculated using the inverse of the cosine.
sec x = 1 / cos x
How to calculate secant
The following example is a step by step guide on how to calculate the secant of an angle.
- First, you need to determine what information is available to you. The secant can be calculated using known trigonometric properties if the angle is known, but it also can be calculated through simply the equation of H/A where H is the length of the hypotenuse of a triangle and A is the length of the adjacent side. For this example we will assume the length of both of these sides is known. They will be 5m and 4m respectively.
- The next step is to plug these values into the above equation so sec x = 5/4 = 1.25.
- The last step would be to use the actual angle to check this. To do this you would simply need to enter the angle into the formula 1/cosx.
- Analyze the results.
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