SOLUTION
Given the question, the following are the steps to solve the problem
Step 1: Write out the question
![\tan (\sin ^(-1))((7)/(9))](https://img.qammunity.org/2023/formulas/mathematics/high-school/vim4ha3iqczbo3vn60jvor0w1u3gx72zjn.png)
Step 2: Solve the expression in the first bracket
![\begin{gathered} \tan (\sin ^(-1))((7)/(9)) \\ (\sin ^(-1))((7)/(9))=51.05755873 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/8glz7qx2aqj9khxjfk8zhrper6o9h7ieo3.png)
Step 3: Calculate the tangent of the result in step 2
![\begin{gathered} \tan (\sin ^(-1))((7)/(9)) \\ =\tan (51.05755873) \\ =1.237436867 \\ \approx1.2374 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/kcyzh94hdk5fovu9g1s11hyjhthd5kfvku.png)
Hence, the result from the evaluation of tan(sin^-1)(7/9) is approximately 1.2374