What is the value of csc(-360) ?

The value of csc(-360) is Undefined

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

csc(-360)

csc (- 36 0^{\circ})

Undefined

Solution steps

csc (- 36 0^{\circ})

Use the following property:

csc (- x) = - csc (x)

csc (- 36 0^{\circ}) = - csc (36 0^{\circ})

= - csc (36 0^{\circ})

csc (36 0^{\circ}) = csc (0)

csc (36 0^{\circ})

Rewrite

36 0^{\circ}

36 0^{\circ} + 0

= csc (36 0^{\circ} + 0)

Apply the periodicity of

csc

csc (x + 36 0^{\circ}) = csc (x)

csc (36 0^{\circ} + 0) = csc (0)

= csc (0)

= - csc (0)

Rewrite using trig identities:

csc (0) =

Undefined

csc (0)

Use the basic trigonometric identity:

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

= \frac{1}{sin ( 0 )}

Simplify

\frac{1}{sin ( 0 )} :

Undefined

\frac{1}{sin ( 0 )}

sin (0) = 0

= \frac{1}{0}

\frac{x}{0}

is undefined

= Undefined

= Undefined

= Undefined

sin (arccos (\frac{4}{9}))

csc (\frac{π}{8})

4 sin (4 5^{\circ})

sin (- 36 0^{\circ})

40 sin (6 0^{\circ})