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Without Using Trigonometric Tables, Evaluate : Cos 35 ∘ Sin 55 ∘

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Question

Without using trigonometric tables, evaluate :

`cos 35^circ/sin 55^circ`

Sum
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Solution

`cos 35^circ/sin 55^circ`

= `cos (90^circ - 55^circ)/sin 55^circ`

= `sin 55^circ/sin 55^circ` [`because` sin (90-θ) = cos θ]

= 1

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Chapter 12: Trigonometric Ratios of Some Complemantary Angles - Exercises [Page 312]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 12 Trigonometric Ratios of Some Complemantary Angles
Exercises | Q 1.4 | Page 312
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