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Step-by-step explanation:
sin(50+\theta)-cos(40-\theta)\\+tan1\degree tan10\degree tan20\degree tan70\degree tan80\degree tan89 \degree
=sin[90-(40-\theta)]-cos(40-\theta)\\+(tan1\degree tan89\degree) (tan10\degree tan80\degree) (tan20\degree tan70 \degree)
=cos(40-\theta)-cos(40-\theta)\\+[tan(90-89\degree)tan89] [tan(90-80\degree) tan80\degree] [tan(90-70\degree )tan70 \degree]
=0+(cot89tan89)(cot80tan80)(cot70tan70)
=1\times 1 \times 1
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