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Question
If tan θ = cot θ and 0° ≤ θ ≤ 90°, state the value of θ.
Sum
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Solution
tan θ = cotθ
tan θ = `(1)/(tanθ )`
tan2 θ = 1
tan θ = 1
tan θ = tan 45°
∴ θ = 45°
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Chapter 21: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - EXERCISE 21 (C) [Page 323]
