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  1. If cos2x + cos4x = 1, then tan2x + tan4x = ?
    1. 0
    2. 1
    3. 2tan2x
    4. 2tan4x
Correct Option: B

cos2x + cos4x = 1
⇒ cos4x = 1 – cos2x = sin2x

∴ tan2x + tan4x =
sin2x
 +
sin4x
cos2xcos4x

⇒ tan2x + tan4x =
cos4x
 +
sin4x
cos2xsin2x

Hence , tan2x + tan4x = cos2x + sin2x = 1


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