Daily Graph 28-08-09

JEE Advanced Guidance › Graph of the Day questions › Daily Graph 28-08-09

y= sin Ï€x + sin Ï€{x}

where {} denotes fractional part of x

#Miscellaneous #Graph of the Day

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7 Answers

62

Lokesh Verma ·2009-11-17 22:56:57

no one?

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106

Asish Mahapatra ·2009-11-17 23:08:36

very complicated as it is not periodic... There will be a lot of overlapping between the pi's and the integers

can it be drawn reasonably ?

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62

Lokesh Verma ·2009-11-17 23:13:53

oops .. i made a typing error..

now check :P

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106

Asish Mahapatra ·2009-11-17 23:16:04

when x belongs to 2npi to (2n+1)pi then y=2sinÏ€x
when x belongs to (2n+1)pi to (2n+2)pi then y=0

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3

msp ·2009-11-17 23:17:23

y=-2sinÏ€(x+{x})/2=-2sin(Ipi/2+{x})=-2sin(Ipi/2)cos{x}

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1

xYz ·2009-11-17 23:19:29

a small corection

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Kaustab Sarkar ·2009-11-17 23:31:37

when x belongs to 2npi to (2n+1)pi then y=2sinÏ€x
when x belongs to (2n+1)pi to (2n+2)pi then y=0

plz asish can u explain it how??

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Your Answer

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