Simplified Expression: Introducing the Simplified Form of sec(x) tan(x) in Trigonometry

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:

Mastering Integration: A Comprehensive Guide to Finding the Integral of cos(x) with Respect to x
Understanding the Simplified Expression of sec^2(x) in Trigonometry
Understanding the Properties and Definition of the Cosecant Function: Evaluating the Expression csc^2(x) and How to Simplify It

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