Question

If sin A + sin² A =1, then the value of cos² A + cos⁴ A is

(a) 2 (b) 1 (c) -2 (d) 0​

Answer 1

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Answer :

→ 1 .

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 . ]

✔✔ Hence, it is founded ✅✅ .

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