If tan θ + cot θ = 5, find the value of tan2θ + cotθ. (2012)
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tan θ + cot θ = 5 … [Given
tan^2θ + cot^2θ + 2 tan θ cot θ = 25 … [Squaring both sides
tan^2θ + cot^2θ + 2 = 25
∴ tan^2θ + cot^2θ = 23
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