exam Maths Puzzle Numerical Ability

Solve the following system of linear inequalities by graphing.
3x+4y<12
x+3y<6
x>0
y>0


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exam Other Question
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. Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 5i as zeros. Find the other zero.