Home
Class 12
MATHS
If xsina+ysin2a+zsin3a=sin4a xsinb+ysin...

If `xsina+ysin2a+zsin3a=sin4a` `xsinb+ysin2b+zsin3b=sin4b` `xsinc+ysin2c+zsin3c=sin4c` then the roots of the equation `t^3-(z/2)t^2-((y+2)/4)t+((z-x)/8)=0,a , b , c ,!=npi,` are `sina ,sinb ,sinc` (b) `cosa ,cosb ,cosc` `sin2a ,sin2b ,sin2c` (d) `cos2a ,cos2bcos2c`

A

sin a , sin b , sin c

B

cos a, cos b , cos c

C

sin 2a , sin 2b , sin 2c

D

cos 2a , cos 2b , cos 2c

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The roots of the quadratic equation (a + b-2c)x^2- (2a-b-c) x + (a-2b + c) = 0 are

Show that the roots of the equation (a^(2)-bc)x^(2)+2(b^(2)-ac)x+c^(2)-ab=0 are equal if either b=0 or a^(3)+b^(3)+c^(3)-3acb=0

sin^(-1)((3x)/5)+sin^(-1)((4x)/5)=sin^(-1)x , then roots of the equation are- a. 0 b. 1 c. -1\ d. -2

If A + B + C = 180^@ , then prove that sin 2 A+ sin 2B + sin 2C = 4 sin A sin B sin C

In a A B C , if tan(A/2),tan(B/2),tan(C/2) are in AP, then show that cosA ,cosB ,cosC are in AdotPdot

If a,b,c are in HP, then prove that sin ^(2) ""(A)/(2), sin ^(2) ""(B)/(2), sin ^(2) ""(C )/(2) are also in HP.

Prove that (sin(B-C))/(cos B cos C)+(sin(C-A))/(cos C cos A)+(sin(A-B))/(cos A cos B)=0

(cos x- cos y) ^(2) + (sin x - sin y) ^(2) =4 sin ^(2) "" ( x-y)/(2)

In a Delta ABC, c cos ^(2)""(A)/(2) + a cos ^(2) ""(C ) /(2)=(3b)/(2), then a,b,c are in