ITT Technical Institute
Framingham, Massachusetts
Quarter 6 Electronics Physics
Instructor: Paul Burney

Name __________________________________

Review of Mathematics (Test #2)

Instructions:

Please solve the following problems. Credit will be given for work completed so make sure to show it! Some helpful information can be found below.

Formulas:

You may find the following useful:

a2 = b2 + c2 -2bc(cos A)

b2 = a2 + c2 -2ac(cos B)

c2 = a2 + b2 -2ab(cos C)

(a / sin A) = (b / sin B) = (c / sin C)

a2 + b2 = c2

Part I: Evaluate the following formulas for X if A = 11, B = 3, C =5

1) X = C2 + 4AC - 2

2) X = 2 ( C + A)2 - 12

3) X = A(A - 6) + 3

Part II: Rearrange the following formulas for the specified values

4) Solve V = 4pr2/3, for r.

5) Solve Q = KM - KL, for K.

6) Solve A = m (2x + 3y), for x.

Part III: Solve the following right triangle for all values not given using trigonometry 7) b = 12

B = 37°

Part IV: Solve the following right triangle for all values not given using the Law of Sines. C = 25 °

A = 67°

c = 7

Part V: Solve the following right triangle for all values not given the Law of Cosines. b = 15

A = 69°

c = 23

Part VI: Find the sum of the following two vectors: A vector of magnitude 12 at 15° above the horizontal and a vector of magnitude 3 at 342° from the horizontal.