Question

Write the value of ` sin^2 theta cos^2 theta (1+ tan^2 theta ) (1+ cot^2 theta).`

Answer 1

`sin^2 theta cos^2 theta (1+ tan^2 theta ) (1+ cot^2 theta)`

     =`sin^2 theta cos^2 theta sec^2 theta cosec^2 theta `

     = ` sin^2 theta xx cos^2 xx 1/cos^2 theta xx1/sin^2 theta`

     = 1