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Question

A quadratic equation whose roots are sin218, cos2 36 are

A
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B
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C
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D
None
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Solution

The correct option is A
Sum of the roots=sin218+cos236 =[514]2+[514]2=116[(5+1)2+51)2]=(116)[2(5+1)]=34 Products of the roots=sin218cos236=[514]2[5+14]2=[514.4]2=116 Quadratic Equation is x2[sin218+cos236]x+(sin218cos236)=0x2(34)x+(116)=0

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