Question & Answer » Mathematics Questions » What is the Exact Value of Sec 45

What is the Exact Value of Sec 45

Answer: The transpose of the cosine function is the secant function.

Formula

cosine functions are reciprocals of one other and the secant function is defined as a ratio of one side to another. The formula for an angle’s corresponding secant function is given as follows:

Sec θ = 1 / cos θ

To the value of Sec 45

Sec 45 = 1/cos 45

We are aware of that cos 45 = 1/√2

= 1/1/√2

= √2

Thus, the value of sec 45 = √2