+ (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
Why Is Everyone Suddenly AFK? The Terraria Modded Server No One Talks About!
The Ultimate City Skylines Quiz: How Many Maps Can You Decode?
Are These the Rarest LEGO Batman 3 Minikits Ever?
Saints Row Mod That Fixes Everything (Instantly)
The Finals Throwing Knife Glitch That Broke The Game
Surviving the Apocalypse in Official The Last of Us Merch
Unlock Secret Levels With Hot Wheels Monster Trucks Mega Wrex?
Why Did Blizzard Cancel the Next Hero Release?
Is This the Most Annoying Game Ever? You Decide
Can You Fix This Rusted Sheet Metal Door Before the Next Raid?