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Evaluate: cos 40° cosec 50° + sin 50° sec 40°

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Question

Evaluate:

cos 40° cosec 50° + sin 50° sec 40°

Evaluate
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Solution

cos 40° cosec 50° + sin 50° sec 40°

= cos (90° – 50°) cosec 50° + sin (90° – 40°) sec 40°

= sin 50° cosec 50° + cos 40° sec 40°

= 1 + 1

= 2

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Chapter 21: Trigonometrical Identities - Exercise 21 (E) [Page 332]

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Selina Concise Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (E) | Q 7. (iv) | Page 332
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