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Enter the mathematical formula directly and click the "Next" button to get the calculation answer.
It supports mathematical functions (including trigonometric functions).
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 ((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2)) .
Question type: Mathematical calculation
Solution:
((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=((sqrt(2-sqrt3)/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=((sqrt0.267949/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt(2-sqrt3)/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt0.267949/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-0.258819^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/0.933013)+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-(sqrt3)/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-1.732051/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt1.133974^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-1.133973673924/(sqrt(2-sqrt(3))/2))
=0.277401+(1-1.133973673924/(sqrt(2-sqrt3)/2))
=0.277401+(1-1.133973673924/(sqrt0.267949/2))
=0.277401+(1-1.133973673924/0.258819)
=0.277401+(-3.381339)
=-3.103938
Answer:((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))=-3.103938
☆1 arithmetic calculations
[1/1 Formula]
Work: Calculate the value of equation ((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2)) .
Question type: Mathematical calculation
Solution:
((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=((sqrt(2-sqrt3)/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=((sqrt0.267949/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt(2-sqrt3)/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-(sqrt0.267949/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/(1-0.258819^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=(0.258819/0.933013)+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-(sqrt3)/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt(2-1.732051/2)^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-(sqrt1.133974^2)/(sqrt(2-sqrt(3))/2))
=0.277401+(1-1.133973673924/(sqrt(2-sqrt(3))/2))
=0.277401+(1-1.133973673924/(sqrt(2-sqrt3)/2))
=0.277401+(1-1.133973673924/(sqrt0.267949/2))
=0.277401+(1-1.133973673924/0.258819)
=0.277401+(-3.381339)
=-3.103938
Answer:((sqrt(2-sqrt(3))/2)/(1-(sqrt(2-sqrt(3))/2)^2))+(1-(sqrt(2-(sqrt(3))/2)^2)/(sqrt(2-sqrt(3))/2))=-3.103938