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Sedaia [141]
3 years ago
6

Simplify (1 − sin x)(1 + sin x).

Mathematics
2 answers:
77julia77 [94]3 years ago
8 0

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

belka [17]3 years ago
5 0

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


 

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