Int sec(x) tan(x)
To simplify the expression, int sec(x) tan(x), we can use the trigonometric identity:
sec(x) = 1/cos(x)
tan(x) = sin(x)/cos(x)
By substituting these values, we get:
sec(x) tan(x) = (1/cos(x)) * (sin(x)/cos(x))
To simplify this expression further, we can multiply the numerators and denominators together:
sec(x) tan(x) = (1 * sin(x)) / (cos(x) * cos(x))
Now, we can simplify the numerator and denominator separately:
Numerator:
1 * sin(x) = sin(x)
Denominator:
cos(x) * cos(x) = cos^2(x)
Thus, we have:
sec(x) tan(x) = sin(x) / cos^2(x)
This is the simplified expression for int sec(x) tan(x)
To simplify the expression, int sec(x) tan(x), we can use the trigonometric identity:
sec(x) = 1/cos(x)
tan(x) = sin(x)/cos(x)
By substituting these values, we get:
sec(x) tan(x) = (1/cos(x)) * (sin(x)/cos(x))
To simplify this expression further, we can multiply the numerators and denominators together:
sec(x) tan(x) = (1 * sin(x)) / (cos(x) * cos(x))
Now, we can simplify the numerator and denominator separately:
Numerator:
1 * sin(x) = sin(x)
Denominator:
cos(x) * cos(x) = cos^2(x)
Thus, we have:
sec(x) tan(x) = sin(x) / cos^2(x)
This is the simplified expression for int sec(x) tan(x).
More Answers:
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Understanding the Properties and Definition of the Cosecant Function: Evaluating the Expression csc^2(x) and How to Simplify It