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Deepak Bora
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Introduction to trigonometry : If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.

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If tan θ + cot θ = 5, find the value of tan²θ + cot²θ.

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  1. tan θ + cot θ = 5

    Squaring both sides

    (tan θ + cot θ )²= (5)²

    tan² θ + cot² θ +2tan θ.cot θ = 25

    tan² θ + cot² θ = 25-2 ( tan θ.cot θ = 1)

    ∴ tan² θ + cot² θ = 23

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