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Challenge 284 : Tangled Trig

Given that for some angle a

x = sin a/cos a + cos a/sin a

and

y = 2/cos a – 2cos a,

show that 4x4y2 = 16 + x2y4 + 12x2y2.

Submit your solution

Please do send in your solution to this problem to  weeklymaths@kcl.ac.uk  You can scan or photograph your written work, or type your solutions. If this is your first weekly maths challenge solution, please include your year group and the name of the school you attend. We'll be happy to provide you with feedback on your solution.

 

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