If sin a + sin square is equal to 1 then find the value of cos square a + cos 4a
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Step-by-step explanation :
★ Given :-
→ sin∅ + sin²∅ = 1 .
★ To find :-
→ cos²∅ + cos⁴∅ .
★ Solution :-
We have,
°•° sin∅ + sin²∅ = 1 .
==> sin∅ = 1 - sin²∅ .
==> sin∅ = cos²∅ .
[ Squaring both side ] .
==> sin²∅ = cos⁴∅ .......... ( i ) .
★ Now,
°•° cos²∅ + cos⁴∅ .
= cos²∅ + sin²∅ . [ Using ( i ) ] .
= 1 .
[ •°• sin²∅ + cos²∅ = 1 . ]
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