If $$ \csc (t) \approx 1.18 $$, and $$ \cos (t) \approx 0.53 $$, find $$ an (t) $$. Round to 2 decimal places. $$ an (t) \approx $$

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If $$ \csc (t) \approx 1.18 $$, and $$ \cos (t) \approx 0.53 $$, find $$ 	an (t) $$. Round to 2 decimal places. $$ 	an (t) \approx $$

UpStudy AI · Accepted Answer

To find $$ \tan(t) $$ given $$ \csc(t) \approx 1.18 $$ and $$ \cos(t) \approx 0.53 $$, follow these steps:

1. **Find $$ \sin(t) $$ from $$ \csc(t) $$:**
   $$
   \csc(t) = \frac{1}{\sin(t)} \implies \sin(t) = \frac{1}{1.18} \approx 0.8475
   $$

2. **Use the definition of $$ \tan(t) $$:**
   $$
   \tan(t) = \frac{\sin(t)}{\cos(t)} \approx \frac{0.8475}{0.53}
   $$

3. **Calculate the value:**
   $$
   \frac{0.8475}{0.53} \approx 1.597
   $$
   
4. **Round to two decimal places:**
   $$
   \tan(t) \approx 1.60
   $$

**Answer:**
$$
\tan(t) \approx 1.60
$$
$$ \tan(t) \approx 1.60 $$

If \( \csc (t) \approx 1.18 \), and \( \cos (t) \approx 0.53 \), find \( \tan (t) \). Round to 2 decimal places. \( \tan (t) \approx \)

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