Sin²x
Explanation:
Let the (1-cosx)(1+cosx) be K
So, we have
(1-cosx)(1+cosx)=k
[tex]K=1-cos^2 x[/tex] ………(1)
since[tex](a+b)(a-b)=a^2-b^2[/tex]
Now, we will use the property of trigonometry function as we know that
[tex]sin^2 x+cos^2 x=1[/tex]
[tex]sin^2 x=1- cos^2 x[/tex]
Hence ,the value of the given express in the question is Sin²x.
