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" If "tan^(-1)(1)/(5)=theta," then value...

" If "tan^(-1)(1)/(5)=theta," then value of "cot theta" will be "

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If tan^(2) theta+cot^(2)theta=(10)/(3) , then determine the value of (tan theta + cot theta) and (tan theta-cot theta) . Also find the value of tan theta .