Use calculator to find x on 0 lessthanorequalto x lessthanor

Use calculator to find x on 0 lessthanorequalto x lessthanorequalto 2 pi or 0 lessthanorequalto x

Solution

cscx + cot x=1

Cosec x=1/sin x and cot x=cosx/sinx

Therefore1/sinx + cosx/sinx=1

1+ cos x=sinx

sin x= t

Therefore

1+ sqrt(1-t^2)=t

sqrt(1-t^2)=t-1

On solving it we get t=1

Sin x=1

Taking inverse on both sides gives x= sin^-1 1

x= 90 degree