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Trigonometric Ratio and Identites question

2009 · Shift 0 · Q45

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JEE Main
Mathematics
Trigonometric Ratio and Identites
2009 · Shift 0 · Q45

Trigonometric Ratio and Identites question

2009 · Shift 0 · Q45

JEE MainMathematicsTrigonometric Ratio and IdentitesMCQ+4 / −1

Let A and B denote the statements A:

\cos \alpha + \cos \beta + \cos \gamma = 0

B:

\sin \alpha + \sin \beta + \sin \gamma = 0

If

\cos \left( {\beta - \gamma } \right) + \cos \left( {\gamma - \alpha } \right) + \cos \left( {\alpha - \beta } \right) = - {3 \over 2},

then:

A
A is false and B is true
B
both A and B are true
C
both A and B are false
D
A is true and B is false

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