Inverse Trigonometric Functions

JEE Main Mathematics · 6 questions

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• Let α=3 sin^-1(6/11) and β=3 cos^-1(4/9), where inverse trigonometric functions take only the principal values. Given below are…20268 April, Shift 2 · Q12
• If sin ( tan^-1(x √2))= cot ( sin^-1 √(1-x^2)), x ∈(0,1), then the value of x is:20266 April, Shift 2 · Q13
• Let [·] denote the greatest integer function. If the domain of the function f(x)= sin^-1((x+[x])/3) is [α, β), then α^2+β^2 is…20266 April, Shift 1 · Q1
• Let 0<α<1, β=1/(3 α) and tan^-1(1-α)+ tan^-1(1-β)=(π)/4. Then 6(α+β) is equal to:20266 April, Shift 1 · Q13
• If (π)/4+Σ_p=1^11 tan^-1((2^p-1)/(1+2^2 p-1))=α, then tan α is equal to ____.20265 April, Shift 1 · Q24
• Let [·] denote the greatest integer function. If the domain of the function f(x)= cos^-1((4 x+2[x])/3) is [α, β], then 12(α+β) is…20264 April, Shift 1 · Q1