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Find the range of f(x)=cosec^2x+25sec^2x...

Find the range of `f(x)=cosec^2x+25sec^2x`.

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The correct Answer is:
[-1, 1/3]
`f(x)=(1+cot^2x)+25(1+tan^2x)`
`=26+cot^2x+25tan^2x`
`=26+10+(cot^2x+25tan^2x-10)`
`=36+(cotx-5tanx)^2ge36`
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