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Prove that: cosec2 45° - cot2 45° = 1 - Mathematics

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Sum

Prove that:

cosec² 45° - cot² 45° = 1

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Solution

LHS= cosec² 45° - cot² 45°

= `(sqrt2)^2 –1^2 = 2 – 1 = 1 = RHS`

Concept: Trigonometric Ratios of Some Special Angles

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

Q 3.3 Q 3.2 Q 3.4

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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 3.3 | Page 291

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Prove that: cosec2 45° - cot2 45° = 1 - Mathematics

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