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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)
=0.258819/0.933013+(1-(sqrt(2-sqrt3)/2)^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+(1-(sqrt0.267949/2)^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+(1-0.258819^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+0.933013/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+0.933013/(sqrt(2-sqrt3)/2)
=0.258819/0.933013+0.933013/(sqrt0.267949/2)
=0.258819/0.933013+0.933013/0.258819
=0.277401+0.933013/0.258819
=0.277401+3.604886
=3.882287
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)=3.882287
☆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)
=0.258819/0.933013+(1-(sqrt(2-sqrt3)/2)^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+(1-(sqrt0.267949/2)^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+(1-0.258819^2)/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+0.933013/(sqrt(2-sqrt(3))/2)
=0.258819/0.933013+0.933013/(sqrt(2-sqrt3)/2)
=0.258819/0.933013+0.933013/(sqrt0.267949/2)
=0.258819/0.933013+0.933013/0.258819
=0.277401+0.933013/0.258819
=0.277401+3.604886
=3.882287
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)=3.882287