Question

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

Solution

## cotx + tanx = 2secx. i.e. cosxsinx + sinxcosx = 2cosx Multiplying both sides by sinx cosx cos2x + sin2x = 2sinx i.e 1 = 2sinx sin x = 12 When sin x = 12, x =30∘

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