Answer:
Option D
Explanation:
We have,
tan A+ 2 tan 2A+4 tan 4 A+8 cot 8 A
we know that
cot A-tan A=2 cot 2 A
$\therefore$ tan A= cot A-2cot 2A
$\therefore$ cot A-2 cot 2A+2 tan 2A+4 tan 4 A+8 cot 8 A
= cot A- 4 cot 4A+4 tan 4A+8 cot 8 A
= cot A-8 cot 8 A+ 8 cot 8A = cot A
