For acute angle `theta`, prove the following:
(i) `sec^2thetacosecthetage4`
(ii) `sec^2theta+cosec^2thetage4`

Explanation

Using `A.M.geG.M.`
`(sin^2theta+cos^2thet)/2ge(sin^2thetacos^2theta)^(1//2)`
`rArr 1/2ge(sin^2thetacos^2theta)^(1//2)rArrsin^2thetacos^2thetale1/4`
`=sec^2thetacosec^2thetage4rArr(sin^2theta+cos^2theta)/(sin^2thetacos^2theta)ge4`
`rArr sec^2theta+cosec^2thetage4`