What is the value of csc(-3pi) ?

The value of csc(-3pi) is Undefined

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(-3pi)

csc (- 3 π)

Undefined

Solution steps

csc (- 3 π)

Use the following property:

csc (- x) = - csc (x)

csc (- 3 π) = - csc (3 π)

= - csc (3 π)

csc (3 π) = csc (π)

csc (3 π)

Rewrite

3 π

2 π + π

= csc (2 π + π)

Apply the periodicity of

csc

csc (x + 2 π) = csc (x)

csc (2 π + π) = csc (π)

= csc (π)

= - csc (π)

Rewrite using trig identities:

csc (π) =

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

sec (arctan (3))

cos (arctan (3) - arcsin (\frac{3}{2}))

sin (2) (35)

3 \cdot cos (6 0^{\circ})

arccos (\frac{8.5}{9.9})