Prove the following identities: (cos2A – 1) (cot2A + 1) = −1 - Mathematics and Statistics

प्रश्न

Prove the following identities:

(cos²A – 1) (cot²A + 1) = −1

बेरीज

उत्तर

L.H.S. = (cos²A – 1) (cot²A + 1)

= – (1 – cos²A)(1 + cot²A)

= – sin²A · cosec²A

= $- \sin^{2} A \times \frac{1}{\sin^{2} A}$

= – 1

= R.H.S.

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Fundamental Identities

या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?

Q 15) ii)Q 15) i)Q 15) iii)

पाठ 2: Trigonometry - 1 - EXERCISE 2.2 [पृष्ठ ३१]

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 11 Standard Maharashtra State Board

पाठ 2 Trigonometry - 1
EXERCISE 2.2 | Q 15) ii) | पृष्ठ ३१

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Prove the following identities: (cos2A – 1) (cot2A + 1) = −1 - Mathematics and Statistics

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Prove the following identities: (cos2A – 1) (cot2A + 1) = −1 - Mathematics and Statistics

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