Prove that \sqrt{\frac{1+cos30^\circ}{1-cos30^\circ}} = sec60^\circ + tan60^\circ (3 marks)\\If cos52^\circ = \frac{x}{\sqrt{x^2+y^2}}, then find the value of tan38^\circ (8 marks)\\If a+b \propto a-b, prove that a^2+b^2 \propto ab (3 marks)\\If A+B=90^\circ then prove that 1+tanA = cosec^2B (3 marks)
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