Question

Find the indicated function value. if it is undefined say so sec 0 ???

Answer 1

The secant of 0 degrees, denoted as sec(0), is the reciprocal of the cosine of 0 degrees. Since cos(0) equals 1, sec(0) is also 1, so the indicated function value is defined and equals 1.

Step-by-step explanation:

The secant function, denoted as sec(\theta), is the reciprocal of the cosine function. Specifically, sec(\theta) = 1/cos(\theta). When you are asked to find sec(0), it means you need to evaluate the secant function at an angle of 0 degrees (or 0 radians).

Since cos(0) = 1, it follows that sec(0) = 1/cos(0) = 1/1 = 1. Therefore, the function value of sec(0) is defined and equals to 1.

If the cosine of an angle is undefined (which occurs at 90 degrees, and at 270 degrees) radians), the secant of that angle would be undefined as well. However, since cosine of 0 degrees is defined and equals 1, the secant of 0 degrees is similarly defined and equals to 1.

Answer 2

The easiest way to calculate this function value is to use reciprocal trigonometric identities

`\sec x=(1)/(\cos x)`

We already know the value of cos 0, which is 1, replace this value in the equation

`\begin{gathered} \sec 0=(1)/(\cos 0) \\ \sec 0=(1)/(1) \\ \sec 0=1 \end{gathered}`

It means sec 0 is 1