General formula Cotx+tanx=2cosecx
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Answer:
Cot x + tan x can be simplified as
2cosec2x
this can be done by replacing
cot by cosx/sinx and tan by sinx/cosx
so we get
2cosec2x=2cosec x
so
cosec2x=cosec x
or
sin2x=sinx
sin 2x=2sinx×cosx
so
sin2x = sin x
can be written as
2sinx×cosx = sin x
sin x gets cancelled so
Sin x = 0 will be a solution
and remaining
cosx=1/2
will be a solution
npi and 2npi +- 60 will be a solution
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