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})

Simplify

= 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 (6 0^{\circ}) - tan (3 0^{\circ})

arccos (\frac{- 2}{29})

tan (arctan (- 1))

cot (- \frac{19 π}{6})

arctan (- \frac{1}{2})