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Question

Find a solution of the equation cot x + tan x = 2 sec x.


Solution

cotx + tanx = 2secx.

i.e. cosxsinxsinxcosx2cosx

Multiplying both sides by sinx cosx

cos2xsin2x = 2sinx

i.e 1 = 2sinx

sin x = 12

When sin x = 12, x =30

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