Home
Class 11
MATHS
If alpha=cos alpha+i sin alpha, b=cos be...

If `alpha=cos alpha+i sin alpha, b=cos beta+isin beta,c=cos gamma+i sin gamma and b/c+c/a+a/b=1,` then `cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=`

A

`3//2`

B

`-3//2`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

If alpha=cos alpha+i sin alpha,b=cos beta+i sin beta,c=cos gamma+i sin gamma and (b)/(c)+(c)/(a)+(a)/(b)=1 then cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=

If origin is the orthocentre of the triangle with vertices A(cos alpha,sin alpha),B(cos beta,sin beta),C(cos gamma,sin gamma) then cos(2 alpha-beta-gamma)+cos(2 beta-gamma-alpha)+cos(2 gamma-alpha-beta)=

Prove that : cos^2 (beta-gamma) + cos^2 (gamma-alpha) + cos^2 (alpha-beta) =1+2cos (beta-gamma) cos (gamma-alpha) cos (alpha-beta) .

Let A and B denote the statements A : cos alpha + cos beta + cos gamma =0 B : sin alpha + siin beta + sin gamma = 0 If cos(beta - gamma) + cos (gamma -alpha) + cos (alpha -beta) = - (3)/(2) , then