precalc3-trig - Trigonometry Review Problems 1 Angles Arc...

Info icon This preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
Trigonometry Review Problems 1. Angles, Arc Lengths and Areas (a) Suppose that an angle measuring θ radians subtends an arc of a circle of radius r units. What is the length of that arc? What if the angle measured θ degrees? (b) Suppose that an angle measuring θ radians subtends a sector of a circle of radius r units. What is the area of that sector? What if the angle measured θ degrees? 2. Trigonometry via Right Triangles and the Unit Circle You should be comfortable computing trigono- metric functions using both right triangles and the unit circle. (a) For what values of x is sin x = 0? (b) For what values of x is cos x = 0? (c) How can we simplify sin( x + 2 π )? (d) How can we simplify cos( x - 6 π )? 3. Use the symmetry of the unit circle to find the values of each of the following. (a) sin - π 4 (b) cos 2 π 3 (c) tan 11 π 6 (d) sin 13 π 4 4. Find each of the following. (a) sin - 1 3 2 ! (b) cos - 1 - 2 2 ! (c) tan - 1 (1) (d) tan - 1 ( - 1) 5. Simple Trigonometric Identities You should be familiar with two basic trigonometric identities: sin 2 ( x ) +
Image of page 1
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