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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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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 3.3 | Page 291
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