Find the general solution of the following tringometric equations: (i) `sin2theta=0` , (ii) `cos((5theta)/2)=0`, (iii) `tan(theta/3) = 0`

Explanation

(i) We have , `sin 2theta=0`
`rArr 2theta=npi, n int Z` `(therefore sintheta=0 rArr theta=npi, n int Z)`
`rArr theta=(npi)/2, n int Z` is the general solution of the given equation.
(ii) `cos(5theta)/(2)=0`
`rArr (5theta)/(2) = (2n+1)pi/2, n int Z (therefore costheta=0 rArr theta=(2n+1)pi/2, n int Z)`
`rArr theta =(2n+1)pi/2, n int z` is the general solutiono of the given equation.
(iii) `tantheta/3=0`
`rArr theta/3 = npi, n int Z (therefore tantheta=0 rArr theta=npi, n int Z)`
`rArr theta=3npi, n int Z` is the general solution of the given equation.