Another prove: double angles

So here's another problem that's been puzzling me for a couple hours. I got my answer as

---1---- does not equal--- 1--- but I am very unsure whether this is right
4cos^2x---------------cos^2x
Here's the question
Prove that:
2csc2xtanx=sec^2x
 

skeeter

MHF Helper
Jun 2008
16,216
6,764
North Texas
So here's another problem that's been puzzling me for a couple hours. I got my answer as

---1---- does not equal--- 1--- but I am very unsure whether this is right
4cos^2x---------------cos^2x
Here's the question
Prove that:
2csc2xtanx=sec^2x
\(\displaystyle 2\csc(2x)\tan{x} =\)

\(\displaystyle \frac{2}{\sin(2x)} \cdot \frac{\sin{x}}{\cos{x}} =
\)

\(\displaystyle \frac{2}{2\sin{x}\cos{x}} \cdot \frac{\sin{x}}{\cos{x}}\)

finish it ...