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If ci >0 for i=1,2,....., n prove that ...

If `c_i >0` for `i=1,2,....., n ` prove that `tan^(-1)((c_1x-y)/(c_1y+x))+tan^(-1)((c_2-c_1)/(1+c_2c_1))+tan^(-1)((c_3-c_2)/(1+c_3c_2))+.........+``tan^(-1)(1/(c_n))=tan^(-1)(x/y)`

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If c_i >0 for i=1,\ 2,\ ,\ n , prove that tan^(-1)((c_1x-y)/(c_1y+x))+tan^(-1)((c_2-c_1)/(1+c_2c_1))+tan^(-1)((c_3-c_2)/(1+c_3c_2))+\ dot+ tan^(-1)(1/(c_n)) = tan^(-1)(x/y)

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ALLEN-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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  3. If ci >0 for i=1,2,....., n prove that tan^(-1)((c1x-y)/(c1y+x))+tan^...

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  9. Show that : cos(2\ tan^(-1)(1/7 ))=sin(4\ tan^(-1) (1/3) )

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  10. The value of sec(sin^-1(sin((-50pi)/9))+cos^-1(cos(31pi)/9))

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  11. cos (cos^-1 cos((8pi)/7) +tan^-1 tan(8pi/7)) has the value equal to -

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  12. If cot^(-1)(sqrt(cosalpha))-tan^(-1)(sqrt(cosalpha))=x , then sinx is ...

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  14. If x=2cos^(-1)(1/2)+sin^(-1)(1/(sqrt(2)))+tan^(-1)(sqrt(3))\ a n d\ y=...

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  15. If x = tan^(-1) 1 - cos^(-1) ( - 1/2) + sin^(-1) 1/2 , y = cos (1/2 c...

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  16. If sin^-1x+ cot^-1 (1/2)= pi/2 then x is (A) 0 (B) 1/sqrt(5) (C) 2/sqr...

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  17. If tan(cos^(-1)x)="sin"(cot^(-1)(1/2)) then x is equal to- a.1/sqrt(5)...

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  18. sin^(-1)(2xsqrt(1-x^2))=2sin^(-1)x is true if x in [0,\ 1]\ b. [-1/(...

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  19. Domain of the explicit from of the function y represented implicity by...

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  20. If cos^(-1) x - cos^(-1).(y)/(2) = alpha, then 4x^(2) - 4xy cos alpha ...

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