If someone could help with either of these problems that would be awesome!
$(\tan x)^2 \leq |1 - 2(\cot x)^2|$
$x^{\sin(x-a)}>1$ where $0< x < \frac{\pi}{2}$ and $a>0$
If someone could help with either of these problems that would be awesome!
$(\tan x)^2 \leq |1 - 2(\cot x)^2|$
$x^{\sin(x-a)}>1$ where $0< x < \frac{\pi}{2}$ and $a>0$
Hint: For the second, if $x \gt 1$ and it is raised to any positive power...
Then there are three more versions of the above.
The first one, rewrite cotangent in terms of tangent and apply the ideas suggested in the answers to your previous question. The second one, I'm not entirely sure what you intended to write.