Find the general values of `theta` which satisfy the following equations: i) `sintheta=1/sqrt(2)` , ii) `costheta=1/2` , (iii) `tantheta=sqrt(3)`, iv) `cottheta=1` , v) `sectheta=2/sqrt(3)`, vi) `"cosec"theta=sqrt(2)`

Find the general values of `theta` which satisfy the following equatio

1.	Find the general values of `theta` which satisfy the following equations: i) `sintheta=1/sqrt(2)` , ii) `costheta=1/2` , (iii) `tantheta=sqrt(3)`, iv) `cottheta=1` , v) `sectheta=2/sqrt(3)`, vi) `"cosec"theta=sqrt(2)`
Answer» i) `sintheta=1/sqrt(2)=sinpi/4` `therefore theta=npi+(-n)^(n).pi/4`. Ans. ii) `costheta=1/2=cospi/3` `therefore theta=2npi+-pi/3`. Ans. iii) `tantheta=sqrt(3)=tanpi/3` `rArr theta=npi+pi/3` iv) `cottheta=1` `rArr tantheta=1=tanpi/4` `therefore theta=npi+pi/4`. v) `sectheta=2/sqrt(3)` `rArr costheta=sqrt(3)/2=cospi/6` vi) `"cosec"theta=sqrt(2)` `rArr sintheta=1/sqrt(2)=sinpi/4` `rArr theta=npi+(-1)^(n)pi/4`. Ans.