Answer:

If Tan2A + Tan4A = 1, then find the value of Cos2A + Cos4A.

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Step-by-step explanation:

Given:

Tan2A + Tan4A = 1

Formula Used:

Sin2θ + Cos2θ = 1

1 + Tan2θ = Sec2θ

1 + Cot2θ = Cosec2θ

Sinθ = 1/Cosecθ

Cosθ = 1/Secθ

Tanθ = 1/Cotθ

Calculation:

According to the question,

Tan2A + Tan4A = 1

⇒ Tan2A(1 + Tan2A) = 1

⇒ Tan2A.Sec2A = 1

⇒ Tan2A = Cos2A

⇒ TanA = CosA

So, Tan2A + Tan4A = Cos2A + Cos4A

∴ The value of Cos2A + Cos4A is 1.

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Answer:

see the answer from the above picture

Step-by-step explanation:

just tried