What is the value of sec(2 pi/4) ?

The value of sec(2 pi/4) is Undefined

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sec(2 pi/4)

sec (2 \frac{π}{4})

Undefined

Solution steps

sec (2 \cdot \frac{π}{4})

Simplify:

2 \cdot \frac{π}{4} = \frac{π}{2}

2 \cdot \frac{π}{4}

Multiply fractions:

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

= \frac{π 2}{4}

Cancel the common factor:

2

= \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

arctan (\frac{- 4}{4 3})

16 \cdot sin (3 5^{\circ})

cos (42 0^{\circ}) \cdot tan (- 31 5^{\circ})

tan^{2} (32. 5^{\circ})

arctan (e^{l n (3)})