The equality $sin A + sin 2 A + sin 3 A = 3$ holds for some real value of $A .$

True

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False

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Solution

The correct option is B False
FOR GIVEN CONDITION TO BE TRUE EACH OF THE TERM ON THE LEFT HAS TO BE 1,BECOZ MAXIMUM VALUE OF THE SINE IS 1. THEREFORE NO SUCH ANGLE IS POSSIBLE OTHER THAN 90,HENCE THE CONDITION IS FALSE.

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