if tanΘ + 1/tanΘ = 2. find tan²Θ + 1/tan²Θ
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Step-by-step explanation:
TanΦ + 1/tanΦ = 2
Square on both sides,
Tan²Φ + 2(tanΦ)(1/tanΦ) + 1/tan²Φ = 2²
Tan²Φ + 2 + 1/tan²Φ = 4
Subtract 2 on both sides,
Therefore, tan²Φ + 1/tan²Φ = 2
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