What is the value of tan(arccos(5/9)) ?

The value of tan(arccos(5/9)) is (2sqrt(14))/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(arccos(5/9))

tan (arccos (\frac{5}{9}))

\frac{2 14}{5}

Decimal Notation

1.49666 \dots

Solution steps

tan (arccos (\frac{5}{9}))

Rewrite using trig identities:

tan (arccos (\frac{5}{9})) = \frac{1 - ( \frac{5}{9} ) ^{2}}{( \frac{5}{9} )}

Use the following identity:

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

= \frac{1 - ( \frac{5}{9} ) ^{2}}{( \frac{5}{9} )}

= \frac{1 - ( \frac{5}{9} ) ^{2}}{\frac{5}{9}}

Simplify

= \frac{2 14}{5}

sin (2 (1 0^{\circ}))

cot (\frac{- 19 π}{3})

- 7 arccot (1)

\frac{sin ^{2} ( 4 5 ^{\circ} ) + cos ( 6 0 ^{\circ} )}{csc ( 3 0 ^{\circ} )}

\frac{4 \cdot 7275 \cdot cos ( 11.8 1 ^{\circ} )}{0.05 \cdot 902200}

What is the value of tan(arccos(5/9)) ?
The value of tan(arccos(5/9)) is (2sqrt(14))/5