Question

If sinA+sin2A=1,then what is the value of cos2a+cos4A?

Answer 1

i hope this will usful to u

Answer 2

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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