This is the basic and conceptual question from trigonometric ratios on complementary angles in which we have to find tan 27°/ cot 63° without using trigonometric tables

RS Aggarwal, Class 10, chapter 12, question no 1(iii).

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tan27°/cot63°

=tan27°/cot(90°-27)

=tan27°/tan27°

=1