Question

if Tana +cota=2,then tan^4a+cot^4a=2

Answer 1

⬆HOPE THIS HELPS YOU⬅

Answer 2

$tana + cota = 2 \\ \\ squaring \: both \: sides \\ \\ ( {tana + cota})^{2} = 4 \\ \\ {tan}^{2} a + {cot}^{2} a + 2tanacota = 4 \\ \\ {tan}^{2} a + {cot}^{2} a + 2 = 4 \\ \\ {tan}^{2} a + {cot}^{2} a = 2$