90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)_ Mathematical calculation

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           ☆1 arithmetic calculations

[1/1 Formula]
    Work: Calculate the value of equation 90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5) .
    Question type: Mathematical calculation
    Solution:
          90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)
        =90-arctan0.75-arctan(0.2*7.5)-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)
        =90-arctan0.75-arctan1.5-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)
        =90-arctan0.75-arctan1.5-arctan0.45-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)
        =90-arctan0.75-arctan1.5-arctan0.45-arctan60+arctan(1.33*7.5)+arctan(0.3*7.5)
        =90-arctan0.75-arctan1.5-arctan0.45-arctan60+arctan9.975+arctan(0.3*7.5)
        =90-arctan0.75-arctan1.5-arctan0.45-arctan60+arctan9.975+arctan2.25
        =90-0.643501-arctan1.5-arctan0.45-arctan60+arctan9.975+arctan2.25
        =90-0.643501-0.982794-arctan0.45-arctan60+arctan9.975+arctan2.25
        =90-0.643501-0.982794-0.422854-arctan60+arctan9.975+arctan2.25
        =90-0.643501-0.982794-0.422854-1.554131+arctan9.975+arctan2.25
        =90-0.643501-0.982794-0.422854-1.554131+1.47088+arctan2.25
        =90-0.643501-0.982794-0.422854-1.554131+1.47088+1.152572
        =89.356499-0.982794-0.422854-1.554131+1.47088+1.152572
        =88.373705-0.422854-1.554131+1.47088+1.152572
        =87.950851-1.554131+1.47088+1.152572
        =86.39672+1.47088+1.152572
        =87.8676+1.152572
        =89.020172
    Answer:90-arctan(0.1*7.5)-arctan(0.2*7.5)-arctan(0.06*7.5)-arctan(8*7.5)+arctan(1.33*7.5)+arctan(0.3*7.5)=89.020172
    Note: Radian

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