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What is the Exact Value of Sec 45

What is the exact value of sec 45°? Learn standard trigonometric values and derivation for CBSE Class 10, JEE, and NEET Mathematics prep.

Table of Content

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