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

2025 · 28 Jan · Shift 1 · Q31
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Inverse Trigonometric Functions
  5. /2025 · 28 Jan · Shift 1 · Q31

Inverse Trigonometric Functions question

2025 · 28 Jan · Shift 1 · Q31

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
cos⁡(sin⁡−135+sin⁡−1513+sin⁡−13365)\cos \left(\sin ^{-1} \frac{3}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{33}{65}\right)cos(sin−153​+sin−1135​+sin−16533​) is equal to:
  1. A
    3365\frac{33}{65}6533​
  2. B
    1
  3. C
    3265\frac{32}{65}6532​
  4. D
    0
PreviousNext

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 · MCQ
  • Let S = {x:cos−1x=π+sin−1x+sin−1[2x+1]}. Then x∈S∑​(2x−1)2 is equal to ​.2025 · Numerical
  • If the domain of the function sin−1(2x−193x−22​)+loge​(x2−3x−103x2−8x+5​) is (α,β], then 3α+10β is equal to:2024 · MCQ
  • Given that the inverse trigonometric function assumes principal values only. Let x,y be any two real numbers in [−1,1] such that cos−1x−sin−1y=α,2−π​≤α≤π. Then, the minimum value of x2+y2+2xysinα…2024 · MCQ
  • For n∈N, if cot−13+cot−14+cot−15+cot−1n=4π​, then n is equal to ​.2024 · Numerical
  • Let the inverse trigonometric functions take principal values. The number of real solutions of the equation 2sin−1x+3cos−1x=52π​, is ​.2024 · Numerical
  • Considering only the principal values of inverse trigonometric functions, the number of positive real values of x satisfying tan−1(x)+tan−1(2x)=4π​ is :2024 · MCQ
  • Let x=nm​ (m,n are co-prime natural numbers) be a solution of the equation cos(2sin−1x)=91​ and let α,β(α>β) be the roots of the equation mx2−nx−m+n=0. Then the…2024 · MCQ