Home
Class 12
MATHS
Find the value of the following: tan^(-1...

Find the value of the following: `tan^(-1)(tan((7pi)/6))`

Text Solution

Verified by Experts

Let `tan ^-1 (tan 7pi//6)=x`,
where `x∈( -pi//2,pi//2)`
Then,
`tanx=tan(7pi//6)​=tan(pi+ pi//6)=tan(pi//6)`
`rArr x=pi//6` ​
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Exercise 2.1|14 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    NCERT ENGLISH|Exercise Solved Examples|13 Videos

  • INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 7.4|25 Videos

  • LINEAR PROGRAMMING

    NCERT ENGLISH|Exercise EXERCISE 12.2|11 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following tan^(-1) { tan (- (7pi)/8)} .

Find the principal values of the following (i) tan^(-1) (tan. (2pi)/(3)) (ii) tan^(-1) (tan (-6))

Evaluate each of the following: tan^(-1)(tan(9pi)/4) (ii) tan^(-1)(tan1) (iii) tan^(-1)(tan2)

Find the values of the following: (i) tan105^0 ( ii.) tan((13pi)/12)

Evaluate each of the following: tan^(-1)(tanpi/3) (ii) tan^(-1)(tan(6pi)/7) (iii) tan^(-1)(tan(7pi)/6)

Find the value of tan pi/8 .

Find the value of tan^(-1)(tan((3pi)/4))

Find the value of tan^(-1)(tan((3pi)/4))

Evaluate each of the following: sin^(-1)(sin(2pi)/3) (ii) cos^(-1)(cos(7pi)/6) (iii) tan^(-1)(tan(3pi)/4)

Find the principal value of each of the following: tan^(-1)(cospi/2) (ii) tan^(-1)(2cos(2pi)/3)