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If cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^...

If `cos^(-1)x+2sin^(-1)x+3cot^(-1)y+4tan^(-1)y=4sec^(-1)z+5cosec^(-1)z`, then prove that `sqrt(z^2-1)=(sqrt(1+x^2)-xy)/(x+ysqrt(1-x^2))`

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