How to find an antiderivative of a trig expression using identities

The video tutorial explains the Pythagorean identity involving tangent and secant functions. It demonstrates how to transform tangent squared into an expression involving secant, followed by simplifying the expression through distribution. Finally, it shows how to find the antiderivative of the simplified expression, resulting in X + C.

What is the Pythagorean identity involving tangent and secant functions?

• Tangent squared of X equals secant squared of X plus one

• Tangent squared of X equals secant squared of X minus one

• Tangent squared of X plus one equals secant squared of X

• Tangent squared of X minus one equals secant squared of X

How can tangent of X be expressed using secant of X?

• Tangent of X equals secant of X minus one

• Tangent of X equals secant of X times one

• Tangent of X equals secant of X plus one

• Tangent of X equals secant of X divided by one

What happens when you distribute the negative sign in the expression secant of X minus one?

• You get secant squared of X plus secant squared of X plus one

• You get secant squared of X minus secant squared of X plus one

• You get secant squared of X minus secant squared of X minus one

• You get secant squared of X plus secant squared of X minus one

What is the result of finding the antiderivative of the simplified expression?

• X divided by a constant C

• X plus a constant C

• X minus a constant C

• X times a constant C

Which of the following is the correct antiderivative of one?

• X times a constant C

• X minus a constant C

• X divided by a constant C

• X plus a constant C