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zvonat
2 months ago
11

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

Mathematics
1 answer:
AnnZ [12.3K]2 months ago
7 0
1. For the equation SinA + sin²A = 1, we can derive that sinA = 1 - sin²A, which simplifies to sinA = cos²A. Then, using this, we have Cos²A + cos⁴A = cos²A + (cos²A)², replacing cos²A with sinA gives sinA + sin²A = 1. Therefore, cos²A + cos⁴A = 1. I hope this is helpful!
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