secx
secxtanx
secx is a trigonometric function that represents the reciprocal of the cosine function. The abbreviation sec stands for secant. The formula for secx is:
secx = 1/cosx
where x represents the angle in radians.
The secx function has some important properties:
1. It is an even function, which means that sec(-x) = sec(x).
2. It is periodic, with a period of 2π, which means that sec(x + 2π) = sec(x) for any value of x.
3. It is undefined at the points where cos(x) = 0 or x is a multiple of π/2. At these points, the value of sec(x) becomes infinite or undefined.
4. The range of secx is (-∞, -1] ∪ [1, ∞), which means that the values of secx lie on either side of the interval between -1 and 1, and do not include those values.
To find the value of secx for a given angle x, you can use either a calculator or a table of values. It is also important to understand the relationship between secx and the other trigonometric functions, such as sine, cosine, and tangent, as well as their inverse functions.
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