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

2020 · 5 Sep · Shift 1 · Q38
Guest · try one question or challengeGuest · try one question or challenge
  1. PYQ Library
  2. /JEE Main
  3. /Mathematics
  4. /Inverse Trigonometric Functions
  5. /2020 · 5 Sep · Shift 1 · Q38

Inverse Trigonometric Functions question

2020 · 5 Sep · Shift 1 · Q38

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
If S is the sum of the first 10 terms of the series tan⁡−1(13)+tan⁡−1(17)+tan⁡−1(113)+tan⁡−1(121)+....{\tan ^{ - 1}}\left( {{1 \over 3}} \right) + {\tan ^{ - 1}}\left( {{1 \over 7}} \right) + {\tan ^{ - 1}}\left( {{1 \over {13}}} \right) + {\tan ^{ - 1}}\left( {{1 \over {21}}} \right) + ....tan−1(31​)+tan−1(71​)+tan−1(131​)+tan−1(211​)+.... then tan(S) is equal to :
  1. A
    1011{10 \over {11}}1110​
  2. B
    511{5 \over {11}}115​
  3. C
    -65{6 \over {5}}56​
  4. D
    56{5 \over {6}}65​
PreviousNext

More from Inverse Trigonometric Functions

  • If α=cos−1(53​), β=tan−1(31​) where 0<α,β<2π​, then α-β is equal to :2019 · MCQ
  • 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