What is the exact value of sec 45?

Secant function is the transpose of the cosine function.

Formula

The secant function is the reciprocal of the cosine function and the sec function of an angle is defined as a ratio of the length of the hypotenuse side to the length of the adjacent side and the formula is given by

Sec θ = 1 / cos θ

To find sec 45

sec 45= 1/cos 45

We know that cos 45= 1/√2

= 1/1/√2

= √2

Answer

Hence, sec 45 = √2

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