Question #781b9
1 Answer
Nov 29, 2016
We will use the following:
#cot(x) = cos(x)/sin(x)# #csc(x) = 1/sin(x)# #sin^2(x)+cos^2(x) = 1#
#=> cos^2(x) = 1-sin^2(x)# #a^2-b^2 = (a+b)(a-b)#
#=(cos^2(x)/sin^2(x))/(1+1/sin(x))#
#=cos^2(x)/(sin^2(x)+sin(x))#
#=(1-sin^2(x))/(sin(x)(1+sin(x)))#
#=((1+sin(x))(1-sin(x)))/(sin(x)(1+sin(x)))#
#=(1-sin(x))/sin(x)#
