Problem

Given $\cos t=\frac{4 \sqrt{5}}{9}$, evaluate the indicated functions. Write your answer as a simplified fraction, if necessary.
Part: 0 / 3
Part 1 of 3
(a) $\cos (-t)=\square$

Answer

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Answer

Final Answer: \(\boxed{\frac{4 \sqrt{5}}{9}}\)

Steps

Step 1 :To find the value of \(\cos (-t)\), we need to remember that the cosine function is an even function, which means that \(\cos (-t) = \cos (t)\).

Step 2 :Since we are given that \(\cos t=\frac{4 \sqrt{5}}{9}\), we can directly use this value for \(\cos (-t)\).

Step 3 :\(\cos (-t) = \frac{4 \sqrt{5}}{9}\)

Step 4 :Final Answer: \(\boxed{\frac{4 \sqrt{5}}{9}}\)

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