Not Algebra again!

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\\x_1-1/x_1=2x_2 \\x_2-1/x_2=2x_3 \\x_3-1/x_3=2x_4 \\x_4-1/x_4=2x_1

Solve this set of equations..

#Mathematics #Trignometry

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6 Answers

Lokesh Verma ·2009-10-01 00:49:44

This one too...

Hint is in the thread.. already :P

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xYz ·2009-10-01 01:02:13

is this one lik cot8-tan8=2cot28

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Lokesh Verma ·2009-10-01 01:03:05

good.. you are thinking :)

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xYz ·2009-10-01 03:12:06

so by putting x₁=cot@...
u get x₂=cot2@...
and x₁=cot16@......=cot@
@=-npi/15...
wer n is integer...
one solution is
x₁=-cot(pi/15)
x₂=-cot(2pi/15)
x₃=-cot(4pi/15)
x₄=-cot(8pi/15)

plz nishant sir plz tell am i rit or rong

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eureka123 ·2009-10-01 03:28:21

yeha xyz its correct...but u need to give a general soln I think rather than a prticular soln [1][1]

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xYz ·2009-10-01 03:30:38

the general solution is @=-npi/15

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Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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Not Algebra again!

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