If tan θ = cot θ and 0°&ang;θ &ang;90°, state the value of θ

tan θ = cotθ tan θ = `(1)/(tanθ )` tan2 θ = 1tan θ = 1tan θ = tan 45°θ = 45°

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

Sum

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

Solution

tan θ = cotθ

tan θ = `(1)/(tanθ )`

tan²θ = 1
tan θ = 1
tan θ = tan 45°
θ = 45°

Concept: Trigonometric Ratios of Some Special Angles

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Q 7.3 Q 7.2 Q 7.4

Chapter 23: Trigonometrical Ratios of Standard Angles [Including Evaluation of an Expression Involving Trigonometric Ratios] - Exercise 23 (A) [Page 291]

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

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