What is the value of tan(arccsc(-5/2)) ?

The value of tan(arccsc(-5/2)) is -(2sqrt(21))/(21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(arccsc(-5/2))

tan (arccsc (- \frac{5}{2}))

- \frac{2 21}{21}

Decimal Notation

- 0.43643 \dots

Solution steps

tan (arccsc (- \frac{5}{2}))

Rewrite using trig identities:

tan (arccsc (- \frac{5}{2})) = \frac{1}{( - \frac{5}{2} ) 1 - \frac{1}{( - \frac{5}{2} ) ^{2}}}

Use the following identity:

tan (arccsc (x)) = \frac{1}{x 1 - \frac{1}{x ^{2}}}

= \frac{1}{( - \frac{5}{2} ) 1 - \frac{1}{( - \frac{5}{2} ) ^{2}}}

= \frac{1}{( - \frac{5}{2} ) 1 - \frac{1}{( - \frac{5}{2} ) ^{2}}}

Simplify

= - \frac{2 21}{21}

csc (45 0^{\circ})

csc (- 30 0^{\circ})

30 sin (6 0^{\circ})

arctan (\frac{9}{6})

arcsin (cos (- \frac{7 π}{6}))

What is the value of tan(arccsc(-5/2)) ?
The value of tan(arccsc(-5/2)) is -(2sqrt(21))/(21)