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Current location：Mathematical operation > History of Mathematical Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation 90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.0422*7.5)-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5) .
Question type: Mathematical calculation
Solution:
90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.0422*7.5)-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5)
=90-arctan0.75-arctan(0.2*7.5)-arctan(0.0422*7.5)-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5)
=90-arctan0.75-arctan1.5-arctan(0.0422*7.5)-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5)
=90-arctan0.75-arctan1.5-arctan0.3165-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5)
=90-arctan0.75-arctan1.5-arctan0.3165-arctan84.3+arctan(0.4216*7.5)+arctan(1.33*7.5)
=90-arctan0.75-arctan1.5-arctan0.3165-arctan84.3+arctan3.162+arctan(1.33*7.5)
=90-arctan0.75-arctan1.5-arctan0.3165-arctan84.3+arctan3.162+arctan9.975
=90-0.643501-arctan1.5-arctan0.3165-arctan84.3+arctan3.162+arctan9.975
=90-0.643501-0.982794-arctan0.3165-arctan84.3+arctan3.162+arctan9.975
=90-0.643501-0.982794-0.306525-arctan84.3+arctan3.162+arctan9.975
=90-0.643501-0.982794-0.306525-1.558934+arctan3.162+arctan9.975
=90-0.643501-0.982794-0.306525-1.558934+1.264494+arctan9.975
=90-0.643501-0.982794-0.306525-1.558934+1.264494+1.47088
=89.356499-0.982794-0.306525-1.558934+1.264494+1.47088
=88.373705-0.306525-1.558934+1.264494+1.47088
=88.06718-1.558934+1.264494+1.47088
=86.508246+1.264494+1.47088
=87.77274+1.47088
=89.24362
Answer:90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.0422*7.5)-arctan(11.24*7.5)+arctan(0.4216*7.5)+arctan(1.33*7.5)=89.24362
Note: Radian