Home
Class 11
MATHS
If n in N, sum(k=1)^(n)sin^(-1(x(k))=(np...

If `n in N, sum_(k=1)^(n)sin^(-1(x_(k))=(npi)/2` then the value of `sum_(k=1)^(n)x_(k)=`

A

`n`

B

`k`

C

`(k(k+1))/2`

D

`(n(n+1))/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|3 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-II (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE -III LEVEL -II (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)22|1 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

If n in N, sum_(k=1)^(n)cos^(-1)(x_(k))=npi then the value of sum_(k=1)^(n)sin^(-1)(x_(k))=

sum_(n=1)^(oo)(1)/(2n(2n+1))=

sum_(k=1)^(2n+1) (-1)^(k-1) k^2 =

If sum_(r=1)^(n)Cos^(-1)x_(r)=0," then "sum_(r=1)^(n)x_(r) equals to

Find the value of sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n k

Find the value of sum_(i=1)^n sum_(i=1)^n sum_(k=1)^n 1

sum_(n=1)^(oo)(1)/(2n-1)*x^(2n)=

If n is a positive integer and (1+i)^(2n)+(1-i)^(2n)=kcos(npi//2) then the value of k is