1.

If `sin^2theta_1+sin^2theta_2+...+sin^2theta_n=0`, then find the minimum value of `costheta_1+costheta_2+...+costheta_n`.

Answer» Correct Answer - `-n`
`sin^2theta_1+sin^2theta_2+...+sin^2theta_n=0`
`rArr sintheta_1=sintheta_2=...sintheta_n=0`
`rArr costheta_1,costheta_2...,costheta_n=pm1`
Therefore, the minimum value of `costheta_1+costheta_2+…+costheta_n`
`=(-1)+(-1)+(-1)+…n" times "=-n`


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