Question

If tan A+cotA=2then find tan^3A+7cot^3A

Answer 1

Answer:

tanA+cotA=2

tanA+1tanA=2

tan2A+1tanA=2

tan2A+1=2tanA

let tan A be x

x2+1=2x

x2−2x+1=0

(x−1)2=0

x=1

=>tanA=x=1

=>tanA=cotA=1

=>tan7A+cot7A=1 ….. req ans

Step-by-step explanation:

Answer 2

Answer Is 8

TanA+cotA=2

A=45


Tan45 + cot45 =2
1 + 1= 2
so
tan45+ 7(cot45)
1 + 7(1) =8

Enjoy!!!!