Answer: The exact value of sec 45° is √2.
We can proceed step by step to determine the required value.
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