exam Maths Puzzle Numerical Ability

Can anyone help me prove that sin^2 x(1 + cot^2x) = 1

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Here is the problem:

Find the solution to the following systems of equations:
3x-2y+4z=8
x-y-2z=5
4x-3y+2z=13
Write the equation of the line that passes through point (-6, 7) with a slope of 0.
A. x = -6
B. x = 7
C. y = -6
D. y = 7