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Without Using Trigonometric Tables, Evaluate : Sec 11 ∘ Cosec 79 ∘ - Mathematics

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Question

Without using trigonometric tables, evaluate :

`sec 11^circ/("cosec"  79^circ)`

Sum
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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 7: Trigonometric Ratios of Complementary Angles - Exercises [Page 312]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 1.2 | Page 312
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