exam Maths Puzzle Numerical Ability

Establish the Identity:


(tan(theta)-cot(theta)/tan(theta)+cot(theta))+1=2sin^2(theta)


Any help would be appreciated. I don't even know where to start.

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exam Other Question

could someone help me with this problem?

the focus of the parabola 4y^2+12x-12y+39=0 is________?

how do i find this? thanks for your help..it was a problem presented in class.
Solve the following system of linear inequalities by graphing.
3x+4y<12
x+3y<6
x>0
y>0