if cosA + cos²A=1find the value of sin²A+sin⁴A
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Answer:
cosA + cos²A = 1 ————(1)
cosA = 1 - cos²A
[sin²A = 1 - cos²A]
cosA= sin²A ———-(2)
Substitute value of cos A in Eqn. (1)
(sin²A) + (sin²A)² = 1
sin²A + sin⁴A = 1
Hence , Proved.
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