Question

prove that tan^4theta +tan^2theta = sec^4theta - sec^2theta.
answer in full step

Answer 1

Hola there,

Let theta be 'A'


Given=> tan⁴A + tan²A = sec⁴A - sec²A

LHS

=> tan⁴A + tan²A

=> tan²A(tan²A + 1)

=> (1 - sec²A)(-sec²A)

=> sec⁴A - sec²A

=> RHS

LHS = RHS

Hence Proved

Hope this helps....:)