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What does sec π/2 equal?

Aniket Singh , 9 Months ago
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Askiitians Tutor Team

The secant function is defined as the reciprocal of the cosine function. To find sec(π/2), we first need to determine the value of cos(π/2).

Value of Cosine at π/2

At the angle π/2 radians (or 90 degrees), the cosine value is:

  • cos(π/2) = 0

Calculating Secant

Since sec(θ) = 1/cos(θ), we can substitute the value we found:

  • sec(π/2) = 1/cos(π/2) = 1/0

Conclusion on Sec(π/2)

Since division by zero is undefined, we conclude that:

sec(π/2) is undefined.
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