This is the basic and conceptual question from trigonometric ratios on complementary angles in which we have to show that cos²57° – sin²33° = 0 without using trigonometric tables
RS Aggarwal, Class 10, chapter 12, question no 2(viii).
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LHS=cos²57°−sin²33°
=cos²57°−sin²(90−57)°
=cos²57°−cos²57°
=0=RHS