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Alize Kuhn

Feb 20, 2025

Solve 2cotx + sec^2x = 0?

this is as far as i have gotten:2cotx + sec^2x = 0 2/tanx + tan^2x + 1 = 0and thats it. can someone please help me with the solution and explain each step?
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Lavinia Carroll

Feb 20, 2025

Elementary, I assure you…2cotx + sec^2x = 02/tanx + tan^2x + 1 = 0 Now multiply through by tanx:tan^3x + tanx + 2 = 0By inspection, tanx = -1 is a root, in fact the only one, as synthetic division would confirm.But if tanx = -1, then x = (4n+3)π/4, so for example 3π/4, 7π/4 etc.Caio!... Show More
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