If cos A + cos2 A = 1, then the value of the expression (sin2 A + sin4 A) is–
Solution
Correct Answer: Option A
দেওয়া আছে, cos A + cos2 A = 1
বা,cos A = 1 – cos2 A
বা, cos A = sin2 A [ যেহেতু 1 – cos2 A=sin2 A ]
প্রদত্ত রাশি = sin2 A + sin4 A
= sin2 A + (sin2 A)2
= cos A + cos2 A = 1 [ cos A + cos2 A = 1 দেওয়া আছে ]
বা,cos A = 1 – cos2 A
বা, cos A = sin2 A [ যেহেতু 1 – cos2 A=sin2 A ]
প্রদত্ত রাশি = sin2 A + sin4 A
= sin2 A + (sin2 A)2
= cos A + cos2 A = 1 [ cos A + cos2 A = 1 দেওয়া আছে ]
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