Question

if TanA+CotA=5, find the value Tan square A+Cot square A

Answer 1

Given, tan A+cotA=5,
now,
squaring both sides, we get
(tanA+cotA)^2=(5)^2

tan^2A +cot ^2A +2.tanA.cotA=25

tan^2A+cot^2A +2.(1/cotA).cotA=25.(As,
tanA=1/cotA)

now by canceling cotA, we get
tan^2A +cot^2A +2.1=25

there fore,
tan^2A +cot^2A=25-2.=23....

Sorry for late,