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Statement-1: `(cos36^(@)-cos752^(@))/(cos36^(@)cos72^(@))=2` Statement-2: `sin15^(@)=(sqrt6-sqrt7)/(4)`A. Statement-1 is True, Statement-2 is true, Statement-2 is a correct explanation for Statement -1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
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Answer» Correct Answer - B We have, `(cos36^(@)-cos72^(@))/(cos36^(@)cos72^(@))=(cos36^(@)-sin18^(@))/(cos36^(@)sin18^(@))=((sqrt5+1)/(4)-(sqrt5-1)/(4))/((sqrt5+1)/(4)xx(sqrt5-1)/(4))=2` So, statement-1 is true. `sin15^(@)=sin(45^(@)-30^(@))=(sqrt3-1)/(2sqrt2)=(sqrt6-sqrt2)/(4)` So, statement-2 is also true. But it is not a correct explanation for statement-1. |
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