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▶ Given :-
→ sin∅ + sin²∅ = 1 .
▶ To find :-
→ cos²∅ + cos⁴∅ .
▶ Solution :-
We have,
°•° sin∅ + sin²∅ = 1 .
==> sin∅ = 1 - sin²∅ .
==> sin∅ = cos²∅ .[sin²∅ . + cos²∅ .=1]
[ Squaring both side ] .
==> sin²∅ = cos⁴∅ .......... ( i ) .
▶ Now,
°•° cos²∅ + cos⁴∅ .
= cos²∅ + sin²∅ . [ Using ( i ) ] .
= 1 .
[ •°• sin²∅ + cos²∅ = 1 . ]
✔✔ Hence, it is founded ✅✅ .
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