young adult
Old enough to know better, young enough not to care.
Let sin 2x = k
k = 22- 8√7
k - 22 = -8√7 [Bring 22 to the LHS)
(k-22)² = (-8√7)² [Squaring both sides]
k² - 44k + 484 = 448 [Expanding]
k² - 44k = 448-484 [Bringing 484 to the RHS]
k² - 44k = -36 [Multiply throughout by k]
k³ - 44k² = -36k
k³ - 44k² + 36k = 0 [Bringing -36k to the LHS]
k³ - 49k² +5k² + 8k + 28k = 0 [Rearranging factors]
k³ + 5k² + 8k = 49k² - 28k [Rearranging factors and bring 49k² - 28k to the RHS]
k³ + 4k² + k² + 4k + 4k = 49k² - 28k [Rearranging factors]
k³ + 4k² + k² + 4k + 4k + 4 - 4 = 49k² - 28k [Adding + 4 and -4 to make it a quadratic/polynomial]
k³ + 4k² + k² + 4k + 4k + 4 = 49k² - 28k + 4 [Bringing -4 to the RHS]
k³ + 4k² + k² + 4k + 4k + 4 = (7k - 2)² [Writing 49k² - 28k + 4 in the form of (a-b)²]
(1+k)(k² + 4k + 4) = (7k - 2)² [Factoring LHS]
(1+k)(k + 2)² = (7k - 2)² [Writing k² + 4k + 4 in the form of (a+b)²]
(1+k) = (7k-2)²/(k+2)² [Bringing (k+2)² to the RHS]
(1 + 2sinxcosx) = (7k-2)²/(k+2)² [k = sin2x = 2sinxcosx]
(sin²x + cos²x + 2sinxcosx) = (7k-2)²/(k+2)² [ 1 = sin²x + cos²x and we bring LHS to the form (a+b)²]
(sinx + cosx)² = (7k-2)²/(k+2)²
(sinx + cosx) = (7k-2)/(k+2) [Taking root on both sides]
sinx + cosx = (7k -2)/k / (k+2)/k) [Divide Numerator and Denominator of RHS by k]
sinx + cosx = (7 - 2/k) / (1+2/k)
(sinx + cosx) (1 + 2/k) = 7 - 2/k [Taking (1+2/k) to the LHS]
sinx + cosx + 2sinx/k + 2cosx/k = 7 - 2/k [Multiplying and Expanding]
sinx + cosx + 2/k(sinx + cosx) + 2/k = 7 [Taking Common factor out]
sinx + cosx + 2/k(sinx + cosx + 1) = 7 [Taking Common factor out]
sinx + cosx + 2/k(sinx + cosx + sin²x + cos²x) = 7 [ 1 = sin²x + cos²x]
sinx + cosx + 2/2sinxcos (sinx + cosx + sin²x + cos²x) = 7 [k = sin2x = 2sinxcosx]
sinx + cosx + 1/cosx + 1/sinx + sinx/cosx + cosx/sinx = 7 [Canceling common terms]
sinx+cosx+secx+cosecx+tanx+cotx = 7 [1/cosx=secx,1/sinx=cosecx,sinx/cosx=tan…
Therefore sinx + cosx + secx + cosecx + tanx + cotx = 7
3(sinx + cosx + secx + cosecx + tanx + cotx) = My age.
So you're 21.
Child's play.
you forgot to divide by ZeroOriginally Posted by Protonix
worker bees can leave
even drones can fly away
the queen is their slave--Fight Club
Joshua: A strange game. The only winning move is not to play.
http://www.etaew.net/defiance/
http://www.defiance.com/en/game/?CAS...oMEGHvtLge-cas
Nonsense.!
Is what makes it child's play =] GG
Im 26 i think... i honestly dont recall at the moment how strange...
EDIT: i was right 26 LOL
The only thing set in stone is your birth, the rest of your destiny lay in your hands - Tenz
Xbox360 Gamer Tag: L0RDT3NZ
Beta Characters: Tenz, MrTenz
Alpha CHaracter: Tenz
Looking for 360 Guild in PST zone, currently in beta and alpha so friend to play with would be nice PM please if you want to play.
25 til I'm 30 and I'm 30 in October.
To a New Yorker like you, a hero is some type of weird sandwich, not some nut who takes on three tigers.
Are you a po/thead?
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