If $$ \sec (t)=4.6 $$, what is $$ \sec (-t) ? $$

Question

UpStudy AI · Accepted Answer

To determine $$ \sec(-t) $$ when $$ \sec(t) = 4.6 $$, let's analyze the properties of the secant function.

1. **Secant and Cosine Relationship**:
   $$
   \sec(t) = \frac{1}{\cos(t)}
   $$
   
2. **Even Function Property**:
   The cosine function is an **even function**, meaning:
   $$
   \cos(-t) = \cos(t)
   $$
   
3. **Applying the Property to Secant**:
   Since $$ \sec(t) = \frac{1}{\cos(t)} $$, it follows that:
   $$
   \sec(-t) = \frac{1}{\cos(-t)} = \frac{1}{\cos(t)} = \sec(t)
   $$
   
4. **Conclusion**:
   Therefore, $$ \sec(-t) = \sec(t) = 4.6 $$.

**Answer:** $$ \sec(-t) = 4.6 $$
$$ \sec(-t) = 4.6 $$

If \( \sec (t)=4.6 \), what is \( \sec (-t) ? \)

Real Tutor Solution

Answer

Solution

Extra Insights

Related Questions

Latest Trigonometry Questions