inverse trigo

JEE Mains Preparation › Trignometry questions › inverse trigo

Q. What is the domain and range of the function sin^-1[x]
where [.] represents GINT

#Mathematics #Trignometry

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8 Answers

9

Celestine preetham ·2009-05-27 21:27:35

range pi/2 , -pi/2, 0

domain [-1,2)

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106

Asish Mahapatra ·2009-05-27 21:29:49

cel: if sin^-1x is defined (i.e. it is a function) will its inverse always be defined? (a function)

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9

Celestine preetham ·2009-05-27 21:31:48

not always

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106

Asish Mahapatra ·2009-05-27 21:34:31

our sir said that domain should be
1 real no. in [-1,0)
1 real no. in [0,1)
1 real no. in [1,2)

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11

virang1 Jhaveri ·2009-05-27 21:49:56

Domain = [-1,2)

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11

virang1 Jhaveri ·2009-05-27 21:50:50

Range = âˆ©/2 ,0,- âˆ©/2

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9

Celestine preetham ·2009-05-28 00:30:36

ur sir is wrong

or u ve typed Q incorrectly

was it asking for a invertible fuction ??

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62

Lokesh Verma ·2009-05-28 05:54:31

domain is [-1,2)

range is {-pi/2, 0, pi/2}

Celestine is absolutely correct.

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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