What is the value of sec(3/2 pi) ?

The value of sec(3/2 pi) is Undefined

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sec(3/2 pi)

sec (\frac{3}{2} π)

Undefined

Solution steps

sec (\frac{3}{2} π)

Simplify:

\frac{3}{2} π = \frac{3 π}{2}

\frac{3}{2} π

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 π}{2}

= sec (\frac{3 π}{2})

Rewrite using trig identities:

Undefined

sec (\frac{3 π}{2})

Use the basic trigonometric identity:

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

= \frac{1}{cos ( \frac{3 π}{2} )}

Simplify

\frac{1}{cos ( \frac{3 π}{2} )} :

Undefined

\frac{1}{cos ( \frac{3 π}{2} )}

cos (\frac{3 π}{2}) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

sinh (\frac{π}{4})

60 \cdot sin (3 7^{\circ})

\frac{14.7}{tan ( 23. 5 ^{\circ} )}

4 sin (2) (0)

1 - arcsin (1)