If cos²theta+cos⁴theta=1 , then find the value of tan²theta+tan⁴theta=?
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cos²A+cos⁴A=1
cos⁴A=1-cos²A
cos⁴A=sin²A ..........1 (sin²A+cos²A=1)
tan²A+tan⁴A
tan²A(1+tan²A)
tan²A.sec²A (tan²A+1=sec²A)
sin²A/cos⁴A .........2
putting 1. in 2.
cos⁴A/cos⁴A
=1
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