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jeka94
3 years ago
5

Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?. A.1/(cscx + sinx). B

.sinx + 1. C.(sinx(1 - sinx))/((1 + sinx)(1 - sinx))
Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

\frac{sinx(1-sinx)}{(1+sinx)(1-sinx)}

Step-by-step explanation:

\frac{sinx}{1+sinx}

To simplify the denominator part we multiply 1+sinx by its conjugate

The conjugate of 1+ sinx  is 1-sinx

Multiply both top and bottom by 1-sinx

\frac{sinx(1-sinx)}{(1+sinx)(1-sinx)}

So the acceptable first step in simplifying the expression is multiply by its conjugate at the top and bottom

Alex73 [517]3 years ago
5 0
We are given with the function <span>(sinx)/(1 + sinx). To simplify the equation, we multiply the denominator with its conjugate. Hence the expression becomes (</span>sinx)(1-sin x )/(1 + <span>sinx)(1-sin x). Then we convert the expression into </span>(<span>sinx)(1-sin x )/ cos^2 x. Using trigonometric functions, we can then simplify the expression.</span>
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