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CUET
General Test
Quantitative Reasoning
Trigonometry
If tan4x + tan2x = 1, find cos4x + cos2x = ?
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-1
= tan2x (tan2x + 1) = 1
= tan4x . sec2x = 1
⇒ tan2x = \(\frac{1}{sec^2x}\) = cos2x
⇒ tan2x = cos2x
⇒ sin2x = cos4x
Put in find
⇒ cos4x + cos2x
sin2x + cos2x = 1