Mathematics · 2026
JEE Main · 28 January 2026, Shift 2 · Q11
Considering the principal values of inverse trigonometric functions, the value of the expression tan (2 sin^-1(2/(√ 13))-2 cos^-1(3/(√ 10))) is equal…
Considering the principal values of inverse trigonometric functions, the value of the expression $\displaystyle \tan \left(2 \sin ^{-1}\left(\frac{2}{\sqrt{13}}\right)-2 \cos ^{-1}\left(\frac{3}{\sqrt{10}}\right)\right)$ is equal to :
Official answer
From NTA’s final answer key for this paper.
(2)
$\displaystyle \frac{33}{56}$
More from Inverse Trigonometric Functions
- If (π)/4+Σ_p=1^11 tan^-1((2^p-1)/(1+2^2 p-1))=α, then tan α is equal to ____.2026
- 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 two statements:…2026
- 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:2026
- 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 equal to:2026
- 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 equal to:2026
- If sin ( tan^-1(x √2))= cot ( sin^-1 √(1-x^2)), x ∈(0,1), then the value of x is:2026
JEE Main 2026 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.