Mathematics · 2023
JEE Main · 13 April 2023, Shift 2 · Q30
For x ∈(-1,1], the number of solutions of the equation sin^-1 x=2 tan^-1 x is equal to ____.
For $\displaystyle x \in(-1,1]$, the number of solutions of the equation $\displaystyle \sin ^{-1} x=2 \tan ^{-1} x$ is equal to $\displaystyle \_\_\_\_$.
Official answer
From NTA’s final answer key for this paper.
2
More from Inverse Trigonometric Functions
- Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x)= sec^-1(2[x]+1) is:2025
- 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 the inverse trigonometric functions take principal values. The number of real solutions of the equation 2 sin^-1 x+3 cos^-1 x=(2 π)/5, is ____.2024
- If (π)/2 ≤ x ≤ (3 π)/4, then cos^-1(12/13 cos x+5/13 sin x) is equal to2025
- Considering the principal values of the inverse trigonometric functions, sin^-1((√3)/2 x+1/2 √(1-x^2)),-1/2<x<1/(√2), is equal to2025
- If sin^-1 (α)/17+ cos^-1 4/5- tan^-1 77/36=0,0<α<13, then sin^-1( sin α)+ cos^-1( cos α) is equal to2023
- Let x=m/n ( m, n are co-prime natural numbers) be a solution of the equation cos (2 sin^-1 x)=1/9 and let α, β(α>β) be the roots of the equation m…2024
- Given that the inverse trigonometric function assumes principal values only. Let x, y be any two real numbers in [-1,1] such that cos^-1 x- sin^-1…2024
JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.