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Show that : sin26∘sec64∘ +cos26∘cosec64∘=1 - Mathematics

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Question

Show that : `sin26^circ/sec64^circ  + cos26^circ/(cosec64^circ) = 1`

Sum

Solution

`sin26^circ/sec64^circ  + cos26^circ/(cosec64^circ)`

= `sin26^circ/(sec(90^circ - 26^circ)) + cos26^circ/(cosec(90^circ - 26^circ))`

= `sin26^circ/(cosec26^circ) + cos26^circ/sec26^circ`

= sin226° + cos226°

= 1

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

APPEARS IN

Selina Mathematics [English] Class 10 ICSE
Chapter 21 Trigonometrical Identities
Exercise 21 (C) | Q 1.3 | Page 328
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