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Without using trigonometric tables, evaluate: sec 11^circ/(cosec 79^circ)

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Question

Without using trigonometric tables, evaluate:

`sec 11^circ/("cosec"  79^circ)`

Evaluate
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Solution

`sec 11^circ/("cosec"  79^circ)`

= `sec (90^circ - 79^circ)/("cosec"  79^circ)`

= `("cosec"  79^circ)/("cosec"  79^circ)`   [`because sec  (90 - theta) = "cosec"  theta`]

= 1

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - EXERCISE 12 [Page 590]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
EXERCISE 12 | Q 1. (ii) | Page 590
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