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