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

Question

Prove that:

cosec² 45° - cot² 45° = 1

Sum

Solution

LHS= cosec² 45° - cot² 45°

= `(sqrt2)^2 –1^2 = 2 – 1 = 1 = RHS`

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Q 3.3 Q 3.2 Q 3.4

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 [English] 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