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

2019 · 8 Apr · Shift 1 · Q23
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Inverse Trigonometric Functions
  5. /2019 · 8 Apr · Shift 1 · Q23

Inverse Trigonometric Functions question

2019 · 8 Apr · Shift 1 · Q23

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If α=cos⁡−1(35)\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)α=cos−1(53​), β=tan⁡−1(13)\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)β=tan−1(31​) where 0<α,β<π20 \lt \alpha ,\beta \lt {\pi \over 2}0<α,β<2π​, then α\alphaα-β\betaβ is equal to :
  1. A
    tan⁡−1(914){\tan ^{ - 1}}\left( {{9 \over {14 }}} \right)tan−1(149​)
  2. B
    sin⁡−1(9510){\sin ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)sin−1(510​9​)
  3. C
    cos⁡−1(9510){\cos ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)cos−1(510​9​)
  4. D
    tan⁡−1(9510){\tan ^{ - 1}}\left( {{9 \over {5\sqrt {10} }}} \right)tan−1(510​9​)
PreviousNext

More from Inverse Trigonometric Functions

  • If cos−1(3x2​)+cos−1(4x3​)=2π​(x >43​), then x is equal to :2019 · MCQ
  • If x = sin − 1(sin10) and y = cos − 1(cos10), then y − x is equal to :2019 · MCQ
  • If cos−1x−cos−12y​=α,where –1 ≤ x ≤ 1, – 2 ≤ y ≤ 2, x ≤2y​, then for all x, y, 4x2 – 4xy cos α + y2 is equal to :2019 · MCQ
  • The value of cot(n=1∑19​cot−1(1+p=1∑n​2p)) is :2019 · MCQ
  • All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :2019 · MCQ
  • The value of sin−1(1312​)−sin−1(53​) is equal to :2019 · MCQ
  • Considering only the principal values of inverse functions, the set A = { x ≥ 0: tan − 1(2x) + tan − 1(3x) = 4π​}2019 · MCQ
  • The value of tan-1 [1+x2​−1−x2​1+x2​+1−x2​​],∣x∣<21​,xe0, is equal to :2017 · MCQ