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If tan θ = cot θ and 0°∠θ ∠90°, state the value of θ - Mathematics

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Sum

If tan θ = cot θ and 0°∠θ ∠90°, state the value of θ

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Solution

tan θ = cotθ 

tan θ  = `(1)/(tanθ )`

tan2 θ  = 1
tan θ  = 1
tan θ  = tan 45°
θ  = 45°

Concept: Trigonometric Ratios of Some Special Angles
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APPEARS IN

Selina Concise Mathematics Class 9 ICSE
Chapter 23 Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios]
Exercise 23 (A) | Q 7.3 | Page 291
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