Home
Class 12
MATHS
cos^(-1)(cos((7pi)/6))is equal to (A) (7...

`cos^(-1)(cos((7pi)/6))`is equal to (A) `(7pi)/6` (B) `(5pi)/6` (C) `pi/3` (D) `pi/6`

Text Solution

Verified by Experts

Our expression is,
`cos^-1(cos((7pi)/6))`
`=cos^-1(cos(pi+pi/6))`
`=cos^-1(-cos(pi/6))`
`=cos^-1(-sqrt(3)/2)`
`As cos ((5pi)/6) = -sqrt3/2`,
`=cos^-1(cos((5pi)/6))`
`=(5pi)/6`
...
Promotional Banner

Similar Questions

Explore conceptually related problems

cos^(-1)(cos((7 pi)/(6))) is equal to

(cos^(-1)(sin((7 pi)/6))

cos^-1 {-sin((5pi)/6)}= (A) - (5pi)/6 (B) (5pi)/6 (C) (2pi)/3 (D) -(2pi)/3

The value of cos^(-1)sqrt((2)/(3))-cos^(-1)((sqrt(6)+1)/(2sqrt(3))) is equal to (A)(pi)/(3)(B)(pi)/(4)(C)(pi)/(2)(D)(pi)/(6)])

sin^-1 (sin ((7pi)/6))= (A) (7pi)/6 (B) pi/6 (C) -pi/6 (D) none of these

cot^(-1)(-sqrt3)= (a) -pi/6 (b) (5pi)/6 (c) pi/3 (d) (2pi)/3

The value of sin^(-1)(cos(33pi)/5) is (3pi)/5 (b) pi/(10) (c) pi/(10) (d) (7pi)/5

sin^-1 (cos(sin^-1(sqrt(3)/2))= (A) pi/3 (B) pi/6 (C) - pi/6 (D) none of these

Let alpha = tan^-1 (1/2)+tan^-1(1/3) , beta=cos^-1(2/3)+cos^-1(sqrt5/3) , gamma=sin^-1(sin((2pi)/3))+1/2cos^-1(cos((2pi)/3)) The value of cos(alpha+beta+gamma) is equal to (A) cos((5pi)/12) (B) cos ((7pi)/12) (C) -cos(pi/12) (D) -cos ((7pi)/12)

The value of sin^(-1)(-3/2)+cos^(-1)(cos\ (7pi)/6) is a. (5pi)/6 b. pi/2 c. (3pi)/2 d. none of these