Question

Evaluate tan(sin^-1)(7/9)

Answer 1

Given the question, the following are the steps to solve the problem

Step 1: Write out the question

`\tan (\sin ^(-1))((7)/(9))`

Step 2: Solve the expression in the first bracket

`\begin{gathered} \tan (\sin ^(-1))((7)/(9)) \\ (\sin ^(-1))((7)/(9))=51.05755873 \end{gathered}`

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}`

Hence, the result from the evaluation of tan(sin^-1)(7/9) is approximately 1.2374