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jeyben [28]
4 years ago
13

Simplify (1 − cos x)(1 + cos x). (2 points)

Mathematics
2 answers:
Vadim26 [7]4 years ago
4 0

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

liq [111]4 years ago
4 0

Answer:

sin^2x

Step-by-step explanation:

Given expression,

(1 - cos x)(1 + cos x)

By using a^2-b^2=(a+b)(a-b)

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

\because sin^2x+cos^2x=1

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

Since, further simplification is not possible,

Hence, the simplified form of the given expression is sin^2x

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