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

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

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sec(-pi/2)

sec (- \frac{π}{2})

Undefined

Solution steps

sec (- \frac{π}{2})

Use the following property:

sec (- x) = sec (x)

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

= sec (\frac{π}{2})

Rewrite using trig identities:

Undefined

sec (\frac{π}{2})

Use the basic trigonometric identity:

sec (x) = \frac{1}{cos ( x )}

= \frac{1}{cos ( \frac{π}{2} )}

Simplify

\frac{1}{cos ( \frac{π}{2} )} :

Undefined

\frac{1}{cos ( \frac{π}{2} )}

cos (\frac{π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

tan^{2} (3 0^{\circ})

sec (- π)

arctan (\frac{2}{4})

arctan (0.4)

csc (1)