Answer:
sin²x
Step-by-step explanation:
we have
(1 − cos x)(1 + cos x)=1-cos²x
Remember that
sin²x+cos²x=1 ------> i-cos²x=sin²x
therefore
(1 − cos x)(1 + cos x)=sin²x
Answer:
[tex]sin^2x[/tex]
Step-by-step explanation:
Given expression,
[tex](1 - cos x)(1 + cos x)[/tex]
By using [tex]a^2-b^2=(a+b)(a-b)[/tex]
[tex](1 - cos x)(1 + cos x)=1^2 - cos^2x = 1 - cos^2x[/tex]
[tex]\because sin^2x+cos^2x=1[/tex]
[tex]\implies (1 - cos x)(1 + cos x)=sin^2x+cos^2x - cos^2x=sin^2x[/tex]
Since, further simplification is not possible,
Hence, the simplified form of the given expression is [tex]sin^2x[/tex]
