Home
Class 12
MATHS
Show that sin^(- 1)(sin(3pi)/7)+cos^(- 1...

Show that `sin^(- 1)(sin(3pi)/7)+cos^(- 1)(cos(46pi)/7)+tan^-1(-tan(13pi)/8)+cot^-1(cot(-(19pi)/8))=(13pi)/7`

A

`16`

B

`23`

C

`20`

D

`28`

Text Solution

Verified by Experts

The correct Answer is:
C
`because(13pi)/(7)=(api)/(b)thereforea+b=20`
Promotional Banner

Similar Questions

Explore conceptually related problems

If sin^(-1)(sin.(33pi)/(7))+cos^(-1)(cos.(46pi)/(7)) +tan^(-1)(-tan.(13pi)/(8))+cot^(-1)(-cot.(19pi)/(8))=(api)/(b) , where a and b are constant, then (a+b) is equal to

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

The value of sin^(-1)(sin((47 pi)/(7)))+cos^(-1)cos((60 pi)/(7))+tan^(-1)(-(tan)(29 pi)/(8))+cot^(-1)(cot(-(35 pi)/(8)))

cot^(-1)(cot((-46 pi)/(7)))

Show that sin ^ (- 1) ((sin (3 pi)) / (7)) + cos ^ (- 1) ((cos (46 pi)) / (7)) + tan ^ (- 1) (- (tan (13 pi)) / (8)) + cot ^ (- 1) (cot (- (19 pi) / (8))) = (13 pi) / (7)

Find the value of tan^(-1) (-tan.(13pi)/(8)) + cot^(-1) (-cot((9pi)/(8)))

The value of (1)/(pi){216sin^(-1)(sin(7 pi/6))+27cos^(-1)(cos(2 pi/3))+28tan^(-1)(tan(5 pi/4))+200cot^(-1)(cot(-(pi/4)))} must be Q

Evaluate the following: sin^(-1)(sin(pi)/(4)) (ii) cos^(-1)(cos2(pi)/(3))tan^(-1)(tan(pi)/(3))

sin ^ (- 1) sin ((23 pi) / (7)) + cos ^ (- 1) cos ((39 pi) / (7))