Prove that 1-cosx/sinx = tan x/2 = sinx/1+cosx
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Step-by-step explanation:
wkt Sin x = 2 sin x/2 cos x/2
1 + cos x = 2 Cos ^2( x/2)
1- Cos x = 2 Sin ^2(x/2)
substitute those in given equation and compare
given 1-cosx /sinx= tan x/2 = sinx / 1+ cosx
2 sin ^2(x/2) / 2 sin x/2 cos x/2 = tan x/2 = 2sin x/2 cos x/2 / 2 cos^2(x/2)
cancle the common terms in numerator and denominator then we get
sin x/2 / cos x/2 = tan x/2 = sin x/2 / cos x/2
wkt sin x/2 / cos x/2 = tan x/2
tan x/2 = tan x/2 = tan x /2
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