cos(sin(x)) function in ISI Entrance

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Understand the problem

In the range of \(0 \leq x \leq 2 \pi \) , 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 \(\cos (\sin(x))\) look 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 student's work, we will try to give you some feedback.

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