Question

. If tanx+1/tanx =3 then tan²x+ 1/tan²x = ​

Answer 1

Step-by-step explanation:

tanx + 1 / tanx = 3

Both side squaring , we get

tan²x + 1/ tan²x + 2 tanx . 1 / tanx = 9

tan²x + 1/ tan²x + 2 = 9

tan²x + 1/ tan²x = 7

May be it helps you.

Answer 2

Step-by-step explanation:

$(tan + 1 \div tan) {}^{2} = (3) {} ^{2} \\ \\ tan {}^{2} + 1 \div tan {}^{2} + 2tan \times 1 \div tan = 9 \\ tan {}^{2} + 1 \div tan {}^{2} + 2 = 9 \\ tan {}^{2} + 1 \div tan {}^{2} = 7$