-sinx/√1-cosx ?

1 Answer
Nghi N
Apr 6, 2018

#=- (sqrt(1 + cos x)/(sin x))#

Explanation:

#f(x) = - (sin x)/ (sqrt(1 - cos x))#
Multiply both numerator and denominator by #sqrt(1 + cos x)#.
#f(x) = - ((sin x)sqrt(1 + cos x))/(sqrt(1 - cos^2 x)) =#
#= - (sin x.sqrt(1 + cos x))/sin^2 x = - (sqrt(1 + cos x)/sin x)#

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