Question

If tanA + 1/tanA = 2, find the value of tan²A + 1/tan²A.

Answer 1

If tanA + 1/tanA = 2, find the value of tan²A + 1/tan²A.

Squaring both sides,

=) (tanA + 1/tanA)² = 2²

=) tan²A + 1/tan²A + 2(tanA)(1/tanA) = 4

=) tan²A + 1/tan²A + 2 = 4

=) tan²A + 1/tan²A = 4-2

=) tan²A + 1/tan²A = 2.

Answer 2

refer to attachment ⤴️⤴️