Question

Tan^2a + tan^4a = 2 then find the value of cos^2a+cos^4a =

Answer 1

Answer: 1

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Step-by-step explanation:

Given that tan⁴A + tan²A = 1

tan²A ( tan²A + 1 ) = 1

tan²A   *   Sec²A = 1

tan²A   * 1/cos²A = 1

tan²A = cos²A

sin²A / cos²A = cos²A

sin²A = cos⁴A

1 - cos²A = cos⁴A

cos⁴A + cos²A = 1

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