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Deepak Bora
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Asked: 2020-07-10T20:00:38+05:30 In:

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.

chapter 8trigonometrytrigonometry identitiestrigonometry proving
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      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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