Question

if sinA + sinA² = 1 then cos²A + cos⁴A is​

Answer 1

$1$

Step-by-step explanation:

$Given, \: \: sinA + sinA² = 1 \\ or, \: \: \: sinA = 1 - sinA² \\ or, \: \: \: sinA = cos²A \\ Now, \: \: \: \: cos²A + cos⁴A \\ = cos²A + (cos^{2} A)^{2} \\ putting \: \: value \\ = sinA + (sinA)^{2} \\ = sinA + sin^{2} A \\ = 1$