Verified Answer :

garydesir1

Finally...

(1-sin x )(1+sin x )

Now we have (1-sin(x)) (1+sin(x))

There is something call Expanded which is the way to write numbers by showing the value of each digit (google)

So let's us it to see what we find.

(1-sin(x)) (1+sin(x) that's equal 1-sin²(x)

We knew that 1-sin²(x) = cos²(x)

Answer : Cos²(x)

wow I did it guys :))

Hey I hope its help XD


 

Answer:

\((1-\sin x )(1+\sin x)=\cos^2x\)

Step-by-step explanation:

Given : Expression \((1-\sin x )(1+\sin x)\)

To find : Simplify the expression ?

Solution :

Step 1 - Write the expression,

\((1-\sin x )(1+\sin x)\)

Step 2 - Applying identity, \((a+b)(a-b)=a^2-b^2\)

\((1-\sin x )(1+\sin x)=1^2-\sin^2x\)

\((1-\sin x )(1+\sin x)=1-\sin^2x\)

Step 3 - Applying trigonometric identity, \(\sin^2x+\cos^2x=1\)

\((1-\sin x )(1+\sin x)=\cos^2x\)

Therefore, \((1-\sin x )(1+\sin x)=\cos^2x\)

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