Graph

VITEEE Discussion Forum › Calculus questions › Graph

What will be the graph of [y]=|sin x|+|cos x|??

#Mathematics #Calculus

UP 0 DOWN 0 0 2
Post on FacebookPost anonymously?

2 Answers

Lokesh Verma ·2009-07-21 07:52:32

first draw y=|sin x|+|cos x|

Then draw the second part..

You need those points where |sin x|+|cos x|=0 or 1 (It cant be 2)

UP 0 DOWN 0
Post on FacebookPost anonymously?

106

Asish Mahapatra ·2009-07-21 10:12:59

lsinxl + lcosxl can never be equal to zero.
so as LHS is an integer,
and RHS cant be -ve,0 or 2 hence it can be only 1.
So u have to find where lsinxl+lcosxl=1

in 1st quad.
sinx+cosx=1
=> cos(x-Î /4) = 1âˆš2 = cosÎ /4
=> x= 0 or x=Î /2

further the function has period Î /2. Hence u can now draw the graph
we have [y]=1 and x=nÎ /2

UP 0 DOWN 0
Post on FacebookPost anonymously?

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

Close [X]

Graph

2 Answers

Your Answer

Add Image

Similar Questions