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Without Using Trigonometric Tables, Prove That: Tan266° − Cot224° = 0 - Mathematics

Sum

Without using trigonometric tables, prove that:

tan266° − cot224° = 0

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Solution

LHS = tan266° − cot224°

 = tan2 (`90^circ - 24^circ`) - cot2`24^circ`

 = cot2 `24^circ` - cot`24^circ`

= 0

= RHS

Concept: Trigonometry
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercise | Q 2.6 | Page 312
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