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RideAnS [48]
3 years ago
11

18. If sin A + sin² A= 1, then find the value of the expression (cos²A + cos⁴ A).​

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

1

Step-by-step explanation:

SinA+sin²A= 1

sinA=1-sin²A

sinA=cos²A

cos²A= sinA

Now,

Cos²A+cos⁴A=cos²A+(cos²A)²

Replace cos²Awith sinA

= sinA+sin²A

=1

cos²A + cos⁴A=1

Hope it helps :)

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