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If csc A=sqrt(10), find other five trigonometric ratios.

If "cosec" theta =sqrt(10) , find the values of all T-ratios of theta.

If sin theta+ cosec theta= 2 then find the value of sin^10theta+cosec ^10 theta .

If "cosec"theta=sqrt(2) ,then find the value of (tan^(2)theta-1) .

If "cosec"theta=sqrt(2) ,then find the value of (tan^(2)theta-1) .

If sec A=sqrt(5) and cosec B=sqrt(10) then cot(A+B) can have the value equal to

"cosec" 10^(@) - sqrt(3) " sec" 10^(@) =

If sin (A+B)=(sqrt(3))/(2) and cosec A=2, then find A and B.

If sinA=(sqrt(3))/(2) and A is an acute angle, then find the value of (tanA-cotA)/(sqrt(3)+"cosec"A) .

Find the sum cosec^(-1) sqrt10 + cosec^(-1) sqrt50 + cosec^(-1) sqrt(170) + .... + cosec^(-1) sqrt((n^(2) + 1) (n^(2) + 2n + 2))