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Computin Computing sine of gamma function

In the sense of bit complexity, how difficult is it difficult coto compute $$\sin(a\Gamma(x))$$ where a$a$ is a constant and x>1$x>1$? Is it possible to avoid the computation of gamma function$\Gamma$ as first step? Is there a way to determine if the expression equals 0$0$, without direct computing?

Computin sine of gamma function

In sense of bit complexity, how is it difficult co compute $$\sin(a\Gamma(x))$$ where a is a constant and x>1? Is it possible to avoid the computation of gamma function as first step? Is there a way to determine if the expression equals 0, without direct computing?

Computing sine of gamma function

In the sense of bit complexity, how difficult is it to compute $$\sin(a\Gamma(x))$$ where $a$ is a constant and $x>1$? Is it possible to avoid the computation of $\Gamma$ as first step? Is there a way to determine if the expression equals $0$, without direct computing?

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Computin sine of gamma function

In sense of bit complexity, how is it difficult co compute $$\sin(a\Gamma(x))$$ where a is a constant and x>1? Is it possible to avoid the computation of gamma function as first step? Is there a way to determine if the expression equals 0, without direct computing?