Trigonometry Review Problems1.Angles, Arc Lengths and Areas(a) Suppose that an angle measuringθradians subtends an arc of a circle of radiusrunits.What is thelength of that arc? What if the angle measuredθdegrees?(b) Suppose that an angle measuringθradians subtends a sector of a circle of radiusrunits. What is thearea of that sector? What if the angle measuredθdegrees?2.Trigonometry via Right Triangles and the Unit CircleYou should be comfortable computing trigono-metric functions using both right triangles and the unit circle.(a)For what values ofxis sinx= 0?(b)For what values ofxis cosx= 0?(c)How can we simplify sin(x+ 2π)?(d)How can we simplify cos(x-6π)?3. Use the symmetry of the unit circle to find the values of each of the following.(a)sin-π4(b)cos2π3(c)tan11π6(d)sin13π44. Find each of the following.(a)sin-1√32!(b)cos-1-√22!(c)tan-1(1)(d)tan-1(-1)5.Simple Trigonometric IdentitiesYou should be familiar with two basic trigonometric identities: sin2(x) +
This is the end of the preview.
access the rest of the document.
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.
Temple University Fox School of Business ‘17, Course Hero Intern
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.
University of Pennsylvania ‘17, Course Hero Intern
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.