Simplify (1 − sin x)(1 + sin x).

Question

luigi0210 · Answer

Distribute

luigi0210 · Answer

It should give you a trig identity ~

johnweldon1993 · Answer

Looks like a difference of squares

$$\large (1 - sin(x))(1 + sin(x))$$

distribute that out

random231 · Answer

(a + b)(a-b)=A^2 - b^2

anonymous · Answer

tan2 x ?

johnweldon1993 · Answer

Not quite...

$$\large (1 - sin(x))(1 + sin(x))$$

When you distribute that out you should have gotten
$$\large 1 -sin(x) + sin(x) - sin^2(x))$$

did you get that?

anonymous · Answer

no

anonymous · Answer

1

 cos2 x

 sin2 x

 tan2 x

johnweldon1993 · Answer

Yes, because when you foil (distribute) that out...you do

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johnweldon1993 · Answer

so since we have that...we can simplify it a bit...

$$\large 1 \cancel{- sin(x) + sin(x)} - sin^2(x)$$
whch leaves us with
$$\large 1 - sin^2(x)$$

You should have seen this before via a trig identity

Hint* $$\large sin^2(x) + cos^2(x) = 1$$

based on that...what will your answer be?

anonymous · Answer

is the answer 1?

random231 · Answer

no! its an easy problem. i recommend you work out the sum again on a piece of paper.

anonymous · Answer

cos2 x

johnweldon1993 · Answer

Correct!

anonymous · Answer

thank you do you mind helping with a couple more just 2

anonymous · Answer

johnweldon1993 thank you do you mind helping with a couple more just 2