pre calc

Math 1720 Section__003 (2014S) (8.1-8.2) Date:__________________________________

Name______________________________ Class ID:________________________________ (Calculators and Open-books are allowed and required)

1. Give the Law of Sines, give the Law of Cosines and Give the Heron’s area formula.

2. Solve the following triangle ABC and find the area of the triangle: (Find A, B, C, a, b, c, area)

a) Given that A = 47.5°, B = 43.5°, c= 9.3 cm (AAS)

b) Given that A = 30°, a = 24.5 cm, b = 58.5 cm (SSA) (No Solution, Why?)

c) Given that A = 30°, a = 24.5 cm, b = 49 cm (SSA) (One Solution, Why?)

d) Given that A = 30°, a = 24.5 cm, b = 33 cm (SSA) (2 Solutions, Why?)

e) Given that A = 37.5 °, b = 39.5 cm , c= 54.8 cm (SAS)

3. Triangle ABC, given that a= 6 cm, b=4 cm and c =5 cm : (SSS) a) Use Laws of Cosines to find cosA and cosB

b) Verify that cosA = 2cos 2 B – 1 to prove that angle A is twice the measure of angle B c) Solve triangle (Find A, B, C, a, b, c) d) Use Heron’s area formula to find the area of the triangle.

4. Triangle ABC, given that a= 6 ft, b= 8 ft and c = 10 ft : (SSS) a) Use the Law of Cosines t to find cosC b) Verify C is a right angle c) Use Heron’s area formula to find the area of the triangle d) Find sinA, cosA, tanA, cotA, secA, cscA e) Find sinB, cosB, tanB, cotB, secB, cscB