prove that , tan ^(-1)""(b-c)/(1+bc)+tan...

prove that `, tan ^(-1)""(b-c)/(1+bc)+tan^(-1)""(c-a)/(1+ca)+tan ^(-1 )""(a-b )/(1+ab)=0`.

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prove that , 4 tan ^(-1) ""(1)/(5) -tan ^(-1 )""(1)/(70) + tan ^(-1) ""(1)/(99) = (pi)/(4) .

prove that tan ^(-1)"" (1)/(4) + tan ^(-1) ""(2)/(9) + tan ^(-1) "" (1)/(5) + tan ^(-1) ""(1)/(8) =(pi)/(4).

Prove that, "tan"^(-1)(a)/(b)-"tan"^(-1)((a-b)/(a+b))=(pi)/(4) .

Prove that , tan^(-1)""x+ tan^(-1) ""y+tan^(-1)""z= tan ^(-1)""(x+y+z-xyz)/(1-xy-yz-zx)

Prove that "tan"^(-1)(ap-q)/(aq+p)+"tan"^(-1)(b-a)/(ab+1)+"tan"^(-1)(c-b)/(bc+1)="tan"^(-1)(p)/(q)-"tan"^(-1)(1)/(c )

tan ^(-1)"" a+ cot ^(-1)""b=cot ^(-1) ""(b-a)/(1+ab)

A particle just clears a wall of height b at distance a and strikes the ground at a distance c from the point of projection. The angle of projection is (1) tan^(-1)b/(a c) (2) "45"^o (3) tan^(-1)(b c)/(a(c-a) (4) tan^(-1)(b c)/a

Prove that "tan"^(-1)sqrt((a(a+b+c))/(bc))+"tan"^(-1)sqrt((b(a+b+c))/(ca))+"tan"^(-1)sqrt((c(a+b+c))/(ab))=pi(a,b,c gt 0)

Prove that, tan^(-1)a+tan^(-1)b+tan^(-1)((1-a-b-ab)/(1+a+b-ab))=(pi)/(4) .

A particle just clears a wall of height b at distance a and strikes the ground at a distance c from the point of projection. The angle of projection is (1) tan^(-1)(b/(a c)) (2) "45"^o (3) tan^(-1)((b c)/(a(c-a))) (4) tan^(-1)((b c)/a)

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prove that , tan ^(-1)""(b-c)/(1+bc)+tan^(-1)""(c-a)/(1+ca)+tan ^(-1 )...
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