1.

Find the general values of `theta` from the following equations: i) `sin3theta=cos3theta` ii) `2cos^(2)theta=1-2sinthetacostheta` iii) `"cosec"^(2)theta+2"cosec"theta-3=0`

Answer» i) `theta=1/3(npi+pi/4)`, ii) `theta=1/2(npi-pi/4)`
iii) `theta=npi+(-1)^(n)pi/2, theta=npi+(-1)^(n), alpha` where `sinalpha=-1/3`


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