How do you rationalize the denominator and simplify #(cos^2 x) /( 1- sin x) #? Algebra Radicals and Geometry Connections Multiplication and Division of Radicals 1 Answer P dilip_k Apr 2, 2016 #(cos^2x)/(1-sinx)xx(1+sinx)/(1+sinx)=((cos^2x)/(1-sin^2x)xx(1+sinx))# #=(cancelcos^2x)/(cancelcos^2x)(1+sinx)=1+sinx# Answer link Related questions How do you simplify #\frac{2}{\sqrt{3}}#? How do you multiply and divide radicals? How do you rationalize the denominator? What is Multiplication and Division of Radicals? How do you simplify #7/(""^3sqrt(5)#? How do you multiply #(sqrt(a) +sqrt(b))(sqrt(a)-sqrt(b))#? How do you rationalize the denominator for #\frac{2x}{\sqrt{5}x}#? Do you always have to rationalize the denominator? How do you simplify #sqrt(5)sqrt(15)#? How do you simplify #(7sqrt(13) + 2sqrt(6))(2sqrt(3)+3sqrt(6))#? See all questions in Multiplication and Division of Radicals Impact of this question 1439 views around the world You can reuse this answer Creative Commons License