Question

If Sin A +Sin²A=1 then what is the value of Cos²A + Cos⁴A?​

Answer 1

Answer:

Given : Sin A + sin2A= 1

Sin A. = 1 - sin2A

Sin A. = Cos2A ------> (I)

Cos2A + Cos4A = Sin A + (Cos2A)2 [ by (I)]

= Sin A + Sin2A

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Answer 2

Answer:

as we know cos²A+sin²A=1

⇒cos²A=1-sin²A---------(1)

according to the problem,

sinA+sin²A=1

⇒sinA=1-sin²A--------(2)

therefore: sinA = cos²A

cos²A+cos⁴A = sinA+sin²A = 1

Step-by-step explanation:

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