In a right angled triangle, the secant of an angle is the the ratio of length of the hypotenuse to the length of the adjacent side.

## Answer: The exact value of sec 45° is √2.

We can proceed step by step to determine the required value.

**Explanation:**

The secant function is also the reciprocal of the cosine function.

Hence, we can write sec x as 1/ cos x.

To find the value of sec 45°, we can replace x with 45°.

sec 45° = 1/ cos 45°

Since cos 45° = 1/√2, therefore sec 45° = √2