Question

Rewrite the expression in terms of the given function: 1/1-sin(x)·sin(x)/1-sin(x); (x)

Answer 1

To rewrite the expression ½ / (1-sin(x)) · sin(x) / (1-sin(x)), you can simplify the expression by first combining the fractions and finding a common denominator. The expression can be rewritten as ½ · sin(x) / (1-sin(x))^2.

Step-by-step explanation:

To rewrite the expression ½ / (1-sin(x)) · sin(x) / (1-sin(x)), we can simplify the expression by first combining the fractions. We can do this by finding a common denominator for the two fractions. The common denominator is (1-sin(x)).

So, the expression can be rewritten as:

½ · sin(x) / (1-sin(x)) / (1-sin(x)).

Next, we can simplify the expression by simplifying the numerator and the denominator. The numerator simplifies to ½ · sin(x) and the denominator simplifies to (1-sin(x))^2.

Therefore, the expression can be rewritten as:

½ · sin(x) / (1-sin(x))^2.