Question

Find the general values of `theta` from the following equations:
i) `sin3theta=sqrt(3)/2`, ii) `cos4theta=1/sqrt(2)`
iii) `tan2theta=sqrt(3)`
iv) `"cosec"3theta=2`

Answer 1

i) `theta=1/3{npi+(-1)^(n).pi/3}`, ii) `theta=1/4(2npi+-pi/4)`, iii) `theta=1/2{npi+- pi/3}`, iv) `theta=1/3{npi+(-1)^(n)pi/6}`