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The number of solutions of x+2+tanx=pi/2...

The number of solutions of `x+2+tanx=pi/2` in `[0, 2pi]` is

Text Solution

Verified by Experts

`x+2+tanx = pi/2`
`=> tanx = pi/2-x-2`
Now, if we draw graphs of `tanx` and `pi/2-x-2`, we find that these two graphs intersects at two points from `[0,pi]`.
Please refer to video to see the graphs.
Thus, there are two solutions for the given equation.
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