Home
Class 12
MATHS
Let A and B denote the statements A : ...

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

A

both A and B are false

B

A is true and B is false

C

A is false and B is true

D

both A and B are true

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (1) TRUE AND FALSE|5 Videos

  • TRIGONOMETRY RATIOS AND IDENTITIES

    ML KHANNA|Exercise PROBLEM SET (1) FILL IN THE BLANKS|2 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

If cos alpha + cos beta + cos gamma = 3 then sin alpha + sin beta + sin gamma =

lfsin alpha + sin beta + sin gamma = 0 = cos alpha + cos beta + cos gamma then sum cos (alpha-beta) =

If cos alpha+cos beta+cos gamma=0 and also sin alpha+sin beta+sin gamma=0 then prove that

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then cos ^ (2) alpha + cos ^ (2) beta + cos ^ (2) gamma is

cos alpha sin (beta-gamma) + cos beta sin (gamma-alpha) + cos gamma sin (alpha-beta) =

If cos alpha+cos beta+cos gamma=sin alpha+sin beta+sin gamma=0 , and cos(alpha-beta)+cos(beta-gamma)+cos(gamma-alpha)=6K , K in R , then K is equal to :

Prove that cos alpha + cos beta + cos gamma + cos (alpha + beta + gamma) = 4 cos"" (alpha + beta)/(2) cos ""(beta + gamma)/(2) cos ""(gamma + alpha)/(2) .