The Secant Function: Evaluation And Undefined Points.

int secx

ln|secx+tanx|

The function secx stands for the secant function. The secant of an angle is defined as the reciprocal of its cosine. In other words:

sec x = 1/ cos x

where x is an angle in radians or degrees.

To evaluate the value of sec x for a given angle x, you would need to know the cosine of that angle. You can determine the cosine of an angle using a calculator, table of trigonometric values, or by applying trigonometric identities.

For example, if you are given an angle x= 45 degrees, you can determine the value of its cos using a calculator or table of trigonometric values:

cos 45° = 0.7071

Then, the value of sec 45° is:

sec 45° = 1 / cos 45° = 1 / 0.7071 ≈ 1.4142

Therefore, the value of sec 45° is approximately 1.4142.

Note that the secant function is undefined at certain angles where the cosine is zero. These are the angles where the cosine has a vertical asymptote or undefined points. These points are located at x = π/2, 3π/2, 5π/2, etc., in radians or 90°, 270°, 450°, etc., in degrees. At these points, the secant function approaches positive or negative infinity, depending on which side of the vertical asymptote you are.

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