Find the Exact Value sin(h(0))

Problem

sin(h(0))

Solution

1. Identify the function to be evaluated. The task asks for the value of the sine function when the input is h(0)

2. Evaluate the inner function h at the value 0 Since h is not explicitly defined in the prompt, we assume h(x) refers to the hyperbolic sine function sinh(x) based on common notation in this context.

3. Calculate the value of sinh(0) using the definition sinh(x)=(ex−e(−x))/2

4. Substitute x=0 into the formula:

sinh(0)=(e0−e0)/2

5. Simplify the result:

sinh(0)=(1−1)/2

sinh(0)=0

6. Substitute this result back into the outer sine function:

sin(0)=0

Final Answer

sin(h(0))=0

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