Question

Find general solutions of the following equations:
a) `sintheta=1/2`, b) `cos(3theta)/2=0` , c) `tan(3theta)/2=0` , d) `cos^(2)2theta=1` , e) `sqrt(3)sec2theta=2`, f) `"cosec"(theta/2)=-1`

Answer 1

a) `theta=npi+(-1)^(n)pi/6, n in I`
b) `theta=(2n+1)pi/3, n in I`,
c) `theta=(4npi)/3, n in I`
d) `theta=(npi)/2, n in I`
e) `theta=npi+- pi/12, n in I`
f) `theta=2npi+(-1)^(n+1)pi, n in I`