What is the value of sec^2(-pi/2) ?

The value of sec^2(-pi/2) is Undefined

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sec^2(-pi/2)

sec^{2} (- \frac{π}{2})

Undefined

Solution steps

sec^{2} (- \frac{π}{2})

Use the following property:

sec (- x) = sec (x)

sec (- \frac{π}{2}) = sec (\frac{π}{2})

= sec^{2} (\frac{π}{2})

Rewrite using trig identities:

tan^{2} (\frac{π}{2}) + 1

sec^{2} (\frac{π}{2})

Use the Pythagorean identity:

sec^{2} (x) = tan^{2} (x) + 1

= tan^{2} (\frac{π}{2}) + 1

= tan^{2} (\frac{π}{2}) + 1

tan (\frac{π}{2})

is undefined

= Undefined

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