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Question : 106 of 160
Marks:
+1,
-0
Solution:
Since
sin‌218∘ and
cos236∘ are the roots of a quadratic equation.
∴‌ Sum of roots ‌=sin‌218∘+cos236∘ ‌=(‌)2+(‌)2‌=‌+‌‌=‌=‌‌‌ and product of roots ‌=sin‌218∘⋅cos236∘‌=(‌)2(‌)2‌=(‌)2=(‌)2=‌‌Required equation whose roots are
sin‌218∘ and
cos236∘, is
‌x2−‌ (sum of roots) ‌x+(‌ product of roots ‌)=0⇒x2−‌x+‌=0⇒16x2−12x+1=0
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