सिद्ध करे कि
`4(cot^(-1)3+cosec^(-1)sqrt5)=pi`.

cot^(-1)3+cosec^(-1)sqrt(5)=

4(cot^(-1)3+csc^(-1)sqrt(5))=pi

4(cot ^(-1)3+"cosec"^(-1) sqrt(5))=pi

cot^(-1)9 + cosec^(-1)(sqrt(41)/4)=

cot^(-1)9+cosec^(-1)(sqrt(41))/4=

cot^(-1)9+cosec^(-1)(sqrt(41))/(4)=(pi)/(4)

" (3.) "cot^(-1)3+cosec^(-1)sqrt(5)=..........

Show that: 4(cot^(-1)(3/2)+cosec^(-1)sqrt(26))=pi .

Prove that : (i) tan^(-1) x + cot^(-1)( x+1) = tan^(-1) (x^(2)+x+1) (ii) cot^(-1) 3 + "cosec"^(-1) sqrt(5) = pi/4