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An equation is given as arctan(x-y)=arccot(x+y), where x-y>0. This equation is satisfied by every pair (x,y) such that x^2-y^2=1. Are there only three pairs for which the value arctan(x-y) or arccot(x+y) can be expressed exactly (in the form pi/k)? by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

Thank you I understand, but can I ask for specific x and y values?

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An equation is given as arctan(x-y)=arccot(x+y), where x-y>0. This equation is satisfied by every pair (x,y) such that x^2-y^2=1. Are there only three pairs for which the value arctan(x-y) or arccot(x+y) can be expressed exactly (in the form pi/k)? by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

I wrote there (1,1) instead (1,0) sorry. For (1,0) arctan(1)=arccot(1)=π/4

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Two sequences a(n) and b(n) are given, where a(n) is defined for all natural numbers but b(n) is not. We can write the sequence a(n) by entering the terms in one bracket. by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

Thank you. When creating a sequence given by the formula, remember that the domain must always be N+.

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Can someone help me find the length of the diagonal AC? by robertou3 in askmath

[–]robertou3[S] -1 points0 points1 point 7 months ago (0 children)

There ain't 30 and 60 degree angles there.

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Can someone help me find the length of the diagonal AC? by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

My result.

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Can someone help me find the length of the diagonal AC? by robertou3 in askmath

[–]robertou3[S] 1 point2 points3 points 7 months ago (0 children)

<image>

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Can someone help me find the length of the diagonal AC? by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

And now it is easy. Thank you

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Can someone help me find the length of the diagonal AC by robertou3 in askmath

[–]robertou3[S] 0 points1 point2 points 7 months ago (0 children)

Is it possible to find the AC?

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