# Get motivated… try this quiz

# Understand the problem

In the range 0f \( 0 \leq x \leq 2 \pi \) , the equation \( \cos (\sin (x) ) = \frac{1}{2} \) has how many solutions?

# Tutorial Problems… try these before watching the video.

1. Show geometrically that \( \cos ( \frac{\pi}{3} ) = \frac{1}{2} \).

2. How does the graph of cos (sin(x)) looks like? What if you drew f(x)) = cos(cos(cos(x)))?

**You may send solutions to support@cheenta.com. Though we usually look into internal students work, we will try to give you some feedback.**

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#### Math Olympiad Program

Math Olympiad is the greatest and most challenging academic contest for school students. Brilliant school students from over 100 countries participate in it every year.

Cheenta works with small groups of gifted students through an intense training program. It is a deeply personalized journey toward intellectual prowess and technical sophistication.