What is the value of tan(arcsin(20/29)) ?

The value of tan(arcsin(20/29)) is 20/21

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(arcsin(20/29))

tan (arcsin (\frac{20}{29}))

\frac{20}{21}

Decimal Notation

0.95238 \dots

Solution steps

tan (arcsin (\frac{20}{29}))

Rewrite using trig identities:

tan (arcsin (\frac{20}{29})) = \frac{( \frac{20}{29} ) 1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

Use the following identity:

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

= \frac{( \frac{20}{29} ) 1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

= \frac{\frac{20}{29} 1 - ( \frac{20}{29} ) ^{2}}{1 - ( \frac{20}{29} ) ^{2}}

Simplify

= \frac{20}{21}

cos (1 0^{\circ}) \cdot 10

csc (\frac{π}{3}) + sin (- 3 0^{\circ})

arctan (- \frac{3}{2}) + π

\frac{1}{cos ^{2} ( \frac{2 π}{3} )}

3 sin (18 0^{\circ})

What is the value of tan(arcsin(20/29)) ?
The value of tan(arcsin(20/29)) is 20/21