In this problem, we will show that arctan(2/3) + arctan(1/5)=/4 using the figure below. A C...

  

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In this problem, we will show that arctan(2/3) + arctan(1/5)=/4 using the figure below. A C (a) Show that ZABC = = Hint: Compute the slopes of AB and BC. (b) Show that that AB = BC. Conclude /BAC= (c) Explain why a = arctan and 3 = arctan (d) Show why arctan - 2 3 ntarctan 1 5 = 74 In this problem, we will show that arctan(2/3) + arctan(1/5)=/4 using the figure below. A C (a) Show that ZABC = = Hint: Compute the slopes of AB and BC. (b) Show that that AB = BC. Conclude /BAC= (c) Explain why a = arctan and 3 = arctan (d) Show why arctan - 2 3 ntarctan 1 5 = 74