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Without Using Trigonometric Table , Evaluate : Cos E C 49 ° Cos 41 ° + Tan 31 ° Cot 59 ° - Mathematics

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Question

Without using trigonometric table , evaluate : 

`cosec49°cos41° + (tan31°)/(cot59°)`

Sum

Solution

`cosec49°cos41° + (tan31°)/(cot59°)`

⇒ `sec(90^circ - 41^circ)cos41^circ + cot(90^circ - 59^circ)/cot56^circ`

⇒ `sec41^circ cos41^circ + cot59^circ/cot59^circ` = 1+ 1 = 2

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Chapter 21: Trigonometric Identities - Exercise 21.3

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Frank Mathematics - Part 2 [English] Class 10 ICSE
Chapter 21 Trigonometric Identities
Exercise 21.3 | Q 1.01
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