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If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'. - Mathematics

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Question

If tanθ= cotθ and 0°≤ θ ≤ 90°, find the value of 'θ'.

Sum

Solution

tanθ = cotθ
⇒ tanθ = `(1)/tanθ`
⇒ tanθ = 1
⇒ tanθ = 1
⇒ θ = 45°.

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Trigonometric Equation Problem and Solution
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Chapter 27: Trigonometrical Ratios of Standard Angles - Exercise 27.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 27 Trigonometrical Ratios of Standard Angles
Exercise 27.1 | Q 10
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