Some Applications of Trigonometry

Question

Evaluate:
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Solution

fraction numerator tan space 34 degree over denominator cot space 56 degree end fraction space equals space fraction numerator tan left parenthesis 90 degree minus 56 degree right parenthesis over denominator cot 56 degree end fraction space equals space fraction numerator cot space 56 degree over denominator cot space 56 degree end fraction space equals space 1.