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

Name __________________________________

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Review of Mathematics (Test #2)

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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.