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

The solution to tan(arcsin(x+2)) is ((x+2)sqrt(-x^2-4x-3))/(-x^2-4x-3)

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simplify tan(arcsin(x+2))

simplify

tan (arcsin (x + 2))

\frac{( x + 2 ) - x ^{2} - 4 x - 3}{- x ^{2} - 4 x - 3}

Solution steps

tan (arcsin (x + 2))

Use the following identity:

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

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

Simplify

= \frac{( x + 2 ) - x ^{2} - 4 x - 3}{- x ^{2} - 4 x - 3}

cos (α - \frac{π}{2})

cos ((θ - π) - sin (π + θ))

sin (- \frac{16 π}{2} + x)

cos (π + (- (n p i)))

1^{2} + (- tan (t))^{2}

What is tan(arcsin(x+2)) ?
The solution to tan(arcsin(x+2)) is ((x+2)sqrt(-x^2-4x-3))/(-x^2-4x-3)