What is tan(arcsin((x+1)/2)) ?

The solution to tan(arcsin((x+1)/2)) is ((x+1)sqrt(-x^2-2x+3))/(-x^2-2x+3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify tan(arcsin((x+1)/2))

simplify

tan (arcsin (\frac{x + 1}{2}))

\frac{( x + 1 ) - x ^{2} - 2 x + 3}{- x ^{2} - 2 x + 3}

Solution steps

tan (arcsin (\frac{x + 1}{2}))

Use the following identity:

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

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

Simplify

= \frac{( x + 1 ) - x ^{2} - 2 x + 3}{- x ^{2} - 2 x + 3}

sin (- 0.65 r a d)

sec (x + \frac{π}{5})

sec (arctan (\frac{y}{2}))

tan (arcsin (X))

tan (\frac{π}{2} - \frac{x}{2})

What is tan(arcsin((x+1)/2)) ?
The solution to tan(arcsin((x+1)/2)) is ((x+1)sqrt(-x^2-2x+3))/(-x^2-2x+3)