exam Maths Puzzle Numerical Ability

What is the simplest form of (3^n)(9(^n-2))(sqrt4(^4n+2)/4(^2n+1) Note: the 4(^2n+1)is the denominator for all.

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exam Other Question

this is trig identities, if you could please help me prove the following identity true

sin2x / 1-cos2x = 2csc2x-tan


i hope this reads clearly

the left side of the equation is sin2x over 1-cos2x
Solve for k: (2k-5)/-4 > 5

The answer given was (-theta, -15/2)

But, I think the answer should be (-15/2, theta)

How do I know for certain which side the theta is on?