What is the value of cot(2pi)-1/(sec(pi/2)) ?

The value of cot(2pi)-1/(sec(pi/2)) is Undefined

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cot(2pi)-1/(sec(pi/2))

cot (2 π) - \frac{1}{sec ( \frac{π}{2} )}

Undefined

Solution steps

cot (2 π) - \frac{1}{sec ( \frac{π}{2} )}

Simplify

cot (2 π) - \frac{1}{sec ( \frac{π}{2} )} : \frac{cot ( 2 π ) sec ( \frac{π}{2} ) - 1}{sec ( \frac{π}{2} )}

cot (2 π) - \frac{1}{sec ( \frac{π}{2} )}

Convert element to fraction:

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

= \frac{cot ( 2 π ) sec ( \frac{π}{2} )}{sec ( \frac{π}{2} )} - \frac{1}{sec ( \frac{π}{2} )}

Since the denominators are equal, combine the fractions:

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

= \frac{cot ( 2 π ) sec ( \frac{π}{2} ) - 1}{sec ( \frac{π}{2} )}

= \frac{cot ( 2 π ) sec ( \frac{π}{2} ) - 1}{sec ( \frac{π}{2} )}

cot (2 π) = cot (0)

cot (2 π)

Rewrite

2 π

π \cdot 2 + 0

= cot (π 2 + 0)

Apply the periodicity of

cot

cot (x + π \cdot k) = cot (x)

cot (π \cdot 2 + 0) = cot (0)

= cot (0)

= \frac{cot ( 0 ) sec ( \frac{π}{2} ) - 1}{sec ( \frac{π}{2} )}

Rewrite using trig identities:

cot (0) =

Undefined

cot (0)

Use the basic trigonometric identity:

cot (x) = \frac{cos ( x )}{sin ( x )}

= \frac{cos ( 0 )}{sin ( 0 )}

Simplify

\frac{cos ( 0 )}{sin ( 0 )} :

Undefined

\frac{cos ( 0 )}{sin ( 0 )}

sin (0) = 0

= \frac{cos ( 0 )}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

2 (- 0.54) + e^{- 0.54} cos (3.27)

\frac{tan ( 2 6 ^{\circ} ) + tan ( 2 8 ^{\circ} )}{1 - tan ( 2 6 ^{\circ} ) tan ( 2 8 ^{\circ} )}

arctan (\frac{3.2}{2.4})

tan (1.28)

240 cos (3 0^{\circ})

What is the value of cot(2pi)-1/(sec(pi/2)) ?
The value of cot(2pi)-1/(sec(pi/2)) is Undefined