Rewrite the following as an equivalent algebraic expression. Assume x is positive. Make sure to use the ""/"" symbol in your answer to indicate division/fraction. sec (cos- 1(x/ 6)) =
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Answer

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Step 1
: Recall the definition of the secant function and the inverse cosine function.

The inverse cosine function, often denoted as $$cos^{-1}$$ or $$arccos$$, returns the angle whose cosine is a given value.

Step 2
: Substitute the inverse cosine of x/ 6 for the argument of the secant function.

sec(cos1(x/6))=rac1cos(cos1(x/6))sec(cos^{-1}(x/6)) = rac{1}{cos(cos^{-1}(x/6))}

Final Answer

sec(cos^{- 1}(x/ 6)) = rac{6}{x}.