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)`

Explanation

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.