Gate Exam

If tan6θ=3/4 then find the value of 3/2cosec2θ+2sec2θ

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Gate Other Question

Mr &mrs smith have invited 9 of their friends & their spouses for a party at the waikki beach resort.they started for a group photograph.if Mr.smith never stands next to mrs smith(as he says they are always together otherwise).how many ways the group can be arranged in a row for the photograph? Solve: dy/dx =[x√(x^2-1) +y]/(√x^2-1)