JEE MAIN - Mathematics (2009 - No. 20)

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

Explanation

AIEEE 2009 Mathematics - Trigonometric Ratio and Identites Question 52 English Explanation

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