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Let P=(prod(r=1)^45sin(r^(@)))(prod(k=46...

Let `P=(prod_(r=1)^45sin(r^(@)))(prod_(k=46)^89sec(k^(@))),` then (i) `sin^-1P=pi/6` (ii) `cot^-1(log_2P)=pi-tan^-1(2)` (iii) `cot^-1(sqrt(2^(log_P(2)))))=cot^-1(1/P^2)` (iv) `sin^-1(sinP)=pi-P`

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