110_1_TRIGONOMETRY - TRIGONOMETRY Angles Arc length...

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

TRIGONOMETRY
Image of page 1

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

Angles, Arc length, Conversions Angle measured in standard position. Initial side is the positive x ! axis which is fixed. Terminal side is the ray in quadrant II, which is free to rotate about the origin. Counterclockwise rotation is positive, clockwise rotation is negative. Coterminal Angles: Angles that have the same terminal side. 60 ! , 420 ! , and ! 300 ! are all coterminal. Degrees to radians: Multiply angle by . 180 ! ! 3 180 60 ! ! " # ! ! radians Radians to degrees: Multiply angle by . 180 ! ! ! ! 45 180 4 " # ! ! Arc length = central angle x radius, or . r s $ " Note: The central angle must be in radian measure. Note: 1 revolution = 360 ! " $% &’()’*+,
Image of page 2
Right Triangle Trig Definitions - sin(A) = sine of A = opposite / hypotenuse = a/c - cos(A) = cosine of A = adjacent / hypotenuse = b/c - tan(A) = tangent of A = opposite / adjacent = a/b - csc(A) = cosecant of A = hypotenuse / opposite = c/a - sec(A) = secant of A = hypotenuse / adjacent = c/b - cot(A) = cotangent of A = adjacent / opposite = b/a A a b c B C
Image of page 3

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

Special Right Triangles 30 ! 45 ! 60 ! 45 ! 2 1 3 1 1 2 3 3 ) 30 tan( 2 1 ) 30 sin( 2 3 ) 30 cos( " " " ! ! ! 3 ) 60 tan( 2 3 ) 60 sin( 2 1 ) 60 cos( " " " !
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