Question

Evaluate cot 45 degree without using a calculator by using ratios in a reference triangle

Answer 1

The ratio for cot x is cot x = cos x/sin x. By using a reference triangle and the ratio of A/O, we can find the cotangent of 45. The answer: (((sqrt(2))/2)/((sqrt(2))/2)), can then be simplified to cot(45) = 1.

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