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Question

Assertion :If A,B,C are acute positive angles then (sinA+sinB)(sinB+sinC)(sinC+sinA)sinAsinBsinC8 Reason: AMGM

A
Statement-1 is false, statement-2 is true
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B
Statement-1 is true, statement-2 is true,statement-2 is a correct explanation for statement-1
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C
Statement-1 is true, statement-2 is true,statement-2 is not a correct explanation for statement-1
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D
Statement-1 is true, statement-2 is false
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Solution

The correct option is B Statement-1 is true, statement-2 is true,statement-2 is a correct explanation for statement-1
A,B,C are acute positive angles then sinA,sinB,sinC will be positive numbers.
Applying property
AMGM
(sinA+sinB)2sinAsinB
(sinB+sinC)2sinBsinC
(sinC+sinA)2sinAsinC
multiplying bove three equations,
(sinA+sinB)(sinB+sinC)(sinC+sinA)8sinAsinBsinC




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