+ (1 + \tan^2 x) + (1 + \cot^2 x) = 7 + \tan^2 x + \cot^2 x
Related Articles
- Since $\cos^2 x + \sin^2 x = 1$, this simplifies to:
- + 2 + \sec^2 x + \csc^2 x + 2 = 5 + \sec^2 x + \csc^2 x
- Now, write $\sec^2 x = 1 + \tan^2 x$ and $\csc^2 x = 1 + \cot^2 x$:
- Let $y = \tan^2 x$, so $\cot^2 x = \frac{1}{y}$. Then the expression becomes:
- + y + \frac{1}{y}
- We minimize $y + \frac{1}{y}$ for $y > 0$. By AM-GM inequality:
Trending Articles
Egyptian Riches Unlocked: The Free Slot Game You Must Try!
Batman Arkham City Help: The Glitch That Breaks The Game
Stop Losing Power: Fix Your Nimh Charger Before It’s Too Late
The 1st Person Dungeon Crawler No One Saw Coming
Free Slots of Ra: The Lost Treasure Awaits Your Spin!
Is This the Ultimate Gamer Snack? Cinnamon Toast Crunch Muddy Buddies Revealed
Corsair M65 Pro RGB FPS: Game-Changer or Hype?
Cinnamon Toast Crunch Muddy Buddies: The Game-Changing Snack Hack You Need
Why Is The Ali A Intro Meme So Uncomfortable Yet Funny
Unlock the Secret Level: Cinnamon Toast Crunch Muddy Buddies Recipe Inside