Doubts
Sign in
12thPass logo
New chatPYQ LibraryDoubtsRank report
Sign in to see Recents
Sign in to save progress →
Doubts
Sign in

Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 1 · Q26
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Inverse Trigonometric Functions
  5. /2022 · 28 Jul · Shift 1 · Q26

Inverse Trigonometric Functions question

2022 · 28 Jul · Shift 1 · Q26

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation cos⁡−1(x)−2sin⁡−1(x)=cos⁡−1(2x)\cos ^{-1}(x)-2 \sin ^{-1}(x)=\cos ^{-1}(2 x)cos−1(x)−2sin−1(x)=cos−1(2x) is equal to :
  1. A
    0
  2. B
    1
  3. C
    12\frac{1}{2}21​
  4. D
    −12-\frac{1}{2}−21​
PreviousNext

More from Inverse Trigonometric Functions

  • The sum of the absolute maximum and absolute minimum values of the function f(x)=tan−1(sinx−cosx) in the interval [0,π] is :2022 · MCQ
  • The domain of the function f(x)=sin−1(x2+2x+7x2−3x+2​) is :2022 · MCQ
  • The domain of the function cos−1(π2sin−1(4x2−11​)​) is :2022 · MCQ
  • 50tan(3tan−1(21​)+2cos−1(5​1​))+42​tan(21​tan−1(22​)) is equal to ​…2022 · Numerical
  • Let m and M respectively be the minimum and the maximum values of f(x)=sin−12x+sin2x+cos−12x+cos2x,x∈[0,8π​]. Then m + M is equal to :2022 · MCQ
  • Let α=tan(165π​sin(2cos−1(5​1​))) and β=cos(sin−1(54​)+sec−1(35​))…2022 · MCQ
  • cos−1(cos(−5))+sin−1(sin(6))−tan−1(tan(12)) is equal to : (The inverse trigonometric functions take the principal values)2021 · MCQ
  • Given that the inverse trigonometric functions take principal values only. Then, the number of real values of x which satisfy sin−1(53x​)+sin−1(54x​)=sin−1x…2021 · MCQ