Trigonometric Function: Evaluating The Secant Of An Angle Using Trigonometric Identities And The Unit Circle.

secx

secxtanx

The expression secx typically refers to the secant of an angle x. The secant of an angle is a trigonometric function that is defined as the reciprocal of the cosine of an angle. Mathematically, we can write:

sec x = 1 / cos x

In order to evaluate the secant of an angle, we need to first find the cosine of the angle. This can be done using a calculator or by using trigonometric identities and the unit circle. Once we have the cosine of the angle, we can take the reciprocal of that value to find the secant.

For example, if we want to find the value of sec(45°), we can first find the cosine of 45° using the unit circle:

cos(45°) = sqrt(2) / 2

Then, we can take the reciprocal of this value to find sec(45°):

sec(45°) = 1 / (sqrt(2) / 2) = sqrt(2)

So the value of sec(45°) is the square root of 2.

More Answers: