Assertion :If A,B,C are acute positive angles then (sinA+sinB)(sinB+sinC)(sinC+sinA)sinAsinBsinC≥8 Reason: AM≥GM
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
AM≥GM
(sinA+sinB)≥2√sinAsinB
(sinB+sinC)≥2√sinBsinC
(sinC+sinA)≥2√sinAsinC multiplying bove three equations,