Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5.7 part 1 score: 5/13 answered: 5/13 question 8 find the exact value (…

Question

5.7 part 1
score: 5/13 answered: 5/13
question 8
find the exact value (in radians).
arccos \left(\cos \left(\frac{\pi}{4}\
ight)\
ight)=
question help: video ebook message instructor

Explanation:

Step1: Recall the property of \( \arccos(\cos(x)) \)

The property \( \arccos(\cos(x))=x \) holds when \( x\in[0,\pi] \).
Since \( \frac{\pi}{4}\in[0,\pi] \), we can directly apply the property.

Answer:

\( \frac{\pi}{4} \)