Trigonometry Proving the statement is innocent

[maxtheminawes]

Homework Statement

Prove this statement. (1+sinx)(1-sinx)=cos^2

Homework Equations

sin^2x+cos^2x=1

The Attempt at a Solution

statement Reason
(1+sinx)(1-sinx) Given
1^2-sinx+sinx+sinx^2 GCF
1+sinx^2 Cancel
1+ (1/cscx) I'm stuck after that

 

[TaxOnFear]

Hi,
Look at your negatives again, you're missing one, which is practically the final step towards finding the solution.

 

[Curious3141]

Homework Statement

Prove this statement. (1+sinx)(1-sinx)=cos^2

Homework Equations

sin^2x+cos^2x=1

The Attempt at a Solution

statement Reason
(1+sinx)(1-sinx) Given
1^2-sinx+sinx+sinx^2 GCF
1+sinx^2 Cancel
1+ (1/cscx) I'm stuck after that

You can simply use (a+b)(a-b) = a² - b², as it's considered a "commonly understood" identity.