Sarahdcs.weebly.com



Name: ______________________________________________________Trigonometry Chapter 6 TestPlease show all of your work on a separate sheet of paper. Circle answers when necessary. (3 points) Use the Law of Sines to solve the triangle: A = 38, B = 58, a =12(2 points) Find the area of the triangle having the indicated angle and sides: B = 80, a = 4, and c = 8(3 points) Use the Law of Cosines to solve the triangle:a = 7, b = 15, c = 19(2 points) Use Heron’s Area Formula to find the are of the triangle: a =15, b = 8, c = 10Find the component form and the magnitude of the vector v. Initial point: ( 1, 5 ); terminal point: (15, 9)Find the component form of w and sketch the specified vector operations geometrically, where u = 6i – 5j and v = 10i + 3j.w = 2u + 3v Find a unit vector in the direction of the given vector: v = < -12, -5 >Write the following vector as a linear combination of the standard unit vectors i and j. Initial Point: (2, -5) and Terminal Point: (-4, 7) Find the magnitude and the direction angle of the vector v. V = -4i + 7jFind the dot product of u and vu = < -7, 12 > and v = < -4, -14 >Use the vectors u = < -3, -4 > and v = < 2, 1 > to find u( u v )Find the angle between the vectors u = < 3, 1 > and v = < 4, 5 >. Graph the vectors and find the degree measure of the angle between the vectors u = 6i + 2j and v = -3i - j. Determine whether u and v are orthogonal, parallel, or neither. u = < 8, -4 > and v = < 5, 10 >Find the value of k such that the vectors u and v are orthogonal. u = ki – 2j and v = i + 4j Plot the complex number and find its absolute value: -3 + 2i Write the complex number in trigonometric form without using a calculator.- 3 + i Perform the operation and leave the result in trigonometric form. [ 2 (cos 2/3 + i sin 2/3) ] [ 3 (cos /6 + i sin /6)] Perform the operation and leave the result in trigonometric form. [ 3 (cos 230 + i sin 230) ] / [ 9 (cos 95 + i sin 95)]Use DeMoivre’s Theorem to find the indicated power of the complex number. Write the result in standard form. [ 2 (cos 4/15 + i sin 4/15) ] 5Extra Credit: Perform the indicated operations using the standard complex forms (do NOT convert to trigonometric form):a) ( 4 + 4i ) ( -1 – i )b) ( -1 – i ) / (-2 -2i) ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download