MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
ashu Grade: 11
        
if sin -1x +sin-1 y+ sin-1 z= pie ,prove thata)x( root 1-x2)+y( root 1- y2)+ z(root 1-z2)= 2xyz
3 years ago

Answers : (4)

Rinkoo Gupta
askIITians Faculty
80 Points
										

Let sin-1x =A then x= sinA

Let sin-1y=B then y =sinB

Let sin-1z=C then z=sinC

Then A+B+C =p

Xv(1-X2) +Yv(1-Y2) +Zv(1-Z2)=sinA v(1-sin2A)+sinBv(1-sin2B) +sinCv(1-sin2C)

=sinA.cosA+sinB.cosB+sinC.cosC

=1/2[sin2A+sin2B+sin2C]

=1/2 [4sinA.sinB.sinC]

=2sinAsinBsinC

=2xyz

Thanks & Regards

Rinkoo Gupta

AskIITians Faculty

3 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
										Hi Ashu,


Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

3 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
										Ashu
Above reply was a mistake.

3 years ago
Arun Kumar
IIT Delhi
askIITians Faculty
256 Points
										Hi Ashu,
So required expression will become

Thanks & Regards, Arun Kumar, Btech,IIT Delhi, Askiitians Faculty

3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: Rs. 15,900
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details