Let A and B denote the statements- A-cos- nbsp- - cos- nbsp- - cos- nbsp- - 0- A-sin- nbsp- - sin- nbsp- - sin- nbsp- - 0-If nbsp- cos - nbsp- - - - - cos- nbsp- - - - - cos - nbsp- - - - - nbsp- - 3-2- then -Both - A- and- B- are trueBoth - A- and - B- are false- A- is true and - B- is false- A- is false and - B- is true

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Let A and B d...

Question

Let A and B denote the statements
$A : cos α + cos β + cos γ = 0$
$A : sin α + sin β + sin γ = 0$
If $cos (β - γ) + c o s (γ - α) + cos (α - β) = - \frac{3}{2}$ , then -

Both

A

and

B

are true

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Both

A

and

B

are false

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A

is true and

B

is false

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A

is false and

B

is true

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B

A : cos α + cos β + cos γ = 0

B

sin α + sin β + sin γ = 0

cos (β - γ) + cos (γ - α) + cos (α - β) = - 3 / 2

A

B

A : cos α + cos β + cos γ = 0

B : sin α + sin β + sin γ = 0

cos (β - γ) + cos (γ - α) + cos (α - β) = - \frac{3}{2}

sin α + sin β + sin γ = 0

cos α + cos β + cos γ = 0

cos (α - β) + cos (β - γ) + cos (γ + α)

c o s (β - γ) + c o s (γ - α) + c o s (α - β) = - \frac{3}{2}

c o s α + c o s β + c o s γ = 0

s i n α + s i n β + s i n γ = 0

c o s α + c o s β + c o s γ = s i n α + s i n β + s i n γ = 0

c o s (β + γ) + c o s (γ + α) + c o s (α + β) = 0

s i n (β + γ) s i n (γ + α) + s i n (α + β) = 0

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