MathDB

23

Part of 2011 Purple Comet Problems

Problems(1)

Purple Comet 2011 HS Problem 23

Source:

4/14/2012
Let xx be a real number in the interval (0,π2)\left(0,\dfrac{\pi}{2}\right) such that 1sin⁡xcos⁡x+2cot⁡2x=12\dfrac{1}{\sin x \cos x}+2\cot 2x=\dfrac{1}{2}. Evaluate 1sin⁡xcos⁡x−2cot⁡2x\dfrac{1}{\sin x \cos x}-2\cot 2x.
trigonometry