If $$ an (t) \approx 1.6 $$, and $$ \sin (t) \approx 0.85 $$, find $$ \cos (t) $$. Round to 2 decimal places. $$ \cos (t) \approx $$

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If $$ 	an (t) \approx 1.6 $$, and $$ \sin (t) \approx 0.85 $$, find $$ \cos (t) $$. Round to 2 decimal places. $$ \cos (t) \approx $$

UpStudy AI · Accepted Answer

To find $$ \cos(t) $$ given that $$ \tan(t) \approx 1.6 $$ and $$ \sin(t) \approx 0.85 $$, we can use the relationship between these trigonometric functions.

Recall that:
$$
\tan(t) = \frac{\sin(t)}{\cos(t)}
$$

Rearranging the equation to solve for $$ \cos(t) $$:
$$
\cos(t) = \frac{\sin(t)}{\tan(t)}
$$

Plugging in the given values:
$$
\cos(t) = \frac{0.85}{1.6} = 0.53125
$$

Rounding to two decimal places:
$$
\cos(t) \approx 0.53
$$

**Answer:**  
$$ \cos (t) \approx 0.53 $$
$$ \cos(t) \approx 0.53 $$

If , and , find . Round to 2 decimal places.

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