2-4 - February 4 2005 Today 7.3 Trigonometric Substitution...

Info icon This preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
February 4, 2005 Today § 7.3 Trigonometric Substitution 1
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Expression a 2 - x 2 Substitution x = a sin θ with - π 2 θ π 2 Identity 1 - sin 2 θ = cos 2 θ Useful relationships θ = arc sin x a cos θ = 1 - x a 2 tan θ = x a 2 - x 2
Image of page 2
Expression x 2 - a 2 Substitution x = a sec θ = a cos θ with 0 θ < π 2 or π θ 3 π 2 Identity sec 2 θ - 1 = tan 2 θ
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Expression a 2 + x 2 Substitution x = a tan θ with - π 2
Image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern