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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sec(2(pi/4))

sec (2 (\frac{π}{4}))

Undefined

Solution steps

sec (2 (\frac{π}{4}))

= 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

\frac{cos ^{2} ( π )}{3}

2 cos (3) (\frac{2 π}{3})

3 sec^{4} (0)

3.25 cos (\frac{π}{6} \cdot 9) + 19.15

\frac{5}{sin ( 6 5 ^{\circ} )}