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Without Using Trigonometric Tables, Prove That: Tan 71° − Cot 19° = 0 - Mathematics

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Question

Without using trigonometric tables, prove that:

tan 71° − cot 19° = 0

Sum
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Solution

LHS = tan 71° − cot 19° 

= `tan (90^circ - 19^circ) - cot 19^circ`

= `cot 19^circ - cot 19^circ`

= 0 
= RHS

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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 2.2 | Page 312
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