Home
Class 11
MATHS
The value of cos^(-1){1/(sqrt(2))("cos"(...

The value of `cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)}` is

A

`(3pi)/20`

B

`(7pi)/10`

C

`(7pi)/20`

D

`(17pi)/20`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|4 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I) (LEVEL - I MATRIX MATCHING TYPE QUESTIONS)|1 Videos
  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - III) (INTEGER TYPE QUESTIONS)|9 Videos
  • HYPERBOLIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET EXERCISE-II (STRAIGHT OBJECTIVE TYPE QUESTIONS)|18 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

The value of Sin^(-1)(Cos((33pi)/5)) is

Find the value of sin^(2)""(pi)/(10)+sin^(2)""(4pi)/(10)+sin^(2)""(6pi)/10+sin^(2)""(9pi)/10 .

The sum of the maximum and the minimum values of 2(cos^(-1)x)^(2)-pi cos^(-1) x+(pi^(2))/(4) is

The value of cos y cos ((pi)/(2) - x) - cos ((pi)/(2) - y) cos x + sin y cos ((pi)/(2) - x) + cos x sin ((pi)/(2) - y) is zero if

Given, cos 2^(m) theta cos 2^(m + 1) theta….cos 2^(n)theta = (sin 2^(n+1)theta)/(2^(n-m+1)sin 2^(m)theta)"where"2^(m) theta ne kpi, n, m, k in I solve the following "sin" (9pi)/(14) "sin" (11 pi)/(14)"sin" (13 pi)/(14) is equal to

Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9pi)/10)=1/16

Show that cos^(2)""(pi)/(10)+cos^(2)""(4pi)/(10)+cos^(2)""(6pi)/10+cos^(2)""(9pi)/10=2 .

Show that (1+"Cos"pi/10)(1+"Cos"(3pi)/10)(1+"Cos"(7pi)/10)(1+"Cos"(9pi)/10)=1/16 (AP March-2015,May-2015,TS May-2015)