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What is the value of 1/ cos x?

Last Updated : 11 Mar, 2024
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The value of \frac{1}{cos x}​ is equal to sec x, where sec x represents the secant function.

To find the value of \bold{\frac{1}{cos x}}​, we use the reciprocal trigonometric function known as the secant function, denoted as sec x. The secant of an angle x is defined as the reciprocal of the cosine of that angle:

sec x = \bold{\frac{1}{cos x}}

Therefore, \bold{\frac{1}{cos x}}​ is equivalent to sec x. This relationship is derived from the fundamental trigonometric identity sec x = \bold{\frac{1}{cos x}}.

The secant function has practical applications in trigonometry, physics, and engineering. It represents the ratio of the hypotenuse to the adjacent side in a right-angled triangle and is a fundamental trigonometric function that is used in various mathematical and scientific contexts. Understanding these trigonometric relationships is essential for solving problems involving angles and sides in trigonometry.


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