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Evaluate: sin80∘cos10∘+sin59∘ sec31∘ - Mathematics

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Question

Evaluate:

`sin80^circ/(cos10^circ) + sin59^circ  sec31^circ`

Evaluate

Solution

`sin80^circ/(cos10^circ) + sin59^circ  sec31^circ`

= `sin(90^circ - 10^circ)/(cos10^circ) + sin(90^circ - 31^circ)sec31^circ`

= `cos10^circ/(cos10^circ) + cos31^circ/cos31^circ`

= 1 + 1

= 2

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Chapter 21: Trigonometrical Identities - Exercise 21 (C) [Page 328]

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Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (C) | Q 5.3 | Page 328
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