What is the value of csc(5pi) ?

The value of csc(5pi) is Undefined

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csc(5pi)

csc (5 π)

Undefined

Solution steps

csc (5 π)

csc (5 π) = csc (π)

csc (5 π)

Rewrite

5 π

2 π \cdot 2 + π

= csc (2 π 2 + π)

Apply the periodicity of

csc

csc (x + 2 π \cdot k) = csc (x)

csc (2 π \cdot 2 + π) = csc (π)

= csc (π)

= csc (π)

Rewrite using trig identities:

Undefined

csc (π)

Use the basic trigonometric identity:

csc (x) = \frac{1}{sin ( x )}

= \frac{1}{sin ( π )}

Simplify

\frac{1}{sin ( π )} :

Undefined

\frac{1}{sin ( π )}

sin (π) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

arctan (- 0.8)

tan (\frac{π}{4}) + sec (\frac{π}{4})

sec (- 31 5^{\circ})

4 cos (12 0^{\circ})

tan (arcsin (\frac{9}{10}))