tan4A + tan2A is equal to:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. sec4A - sec2A.
sec2A - tan2A = 1
⇒ tan2A = sec2A - 1
Also, sec2A = tan2A + 1
According to the given question,
tan4A + tan2A
⇒ tan2A(tan2A + 1)
⇒ sec2A - 1(sec2A)
⇒ sec4A - sec2A
Hence the required answer is sec4A - sec2A.