This is the basic and conceptual question from trigonometric ratios on complementary angles in which we have to show that cos 81° – sin 9° = 0 without using trigonometric tables
RS Aggarwal, Class 10, chapter 12, question no 2(i)
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LHS=cos81°−sin9°
=cos(90°−9°)−sin9°
=sin9°−sin9°
=0=RHS