Download Sheet 7

Dr. Bernd Kreussler
MH 4722
8 March 2017
Introduction to Geometry – Exercise Sheet 7
Problem 7.1 In triangle ABC we have a = 5, β = 25◦ and c = 7. Determine the
remaining side length b and the two angles α and γ.
Give your final results correctly rounded to two decimal places.
1
Problem 7.2 Given that sin(α) = , find the exact values of cos(2α) and cos(4α).
3
Problem 7.3 Without using a calculator, find the exact value of sin(75◦ ) in surd
form.
Problem 7.4 Use the two right triangles in the diagram below, the information
that P A = AB = 3, BC = 2 and the addition theorem, to find sin (∠AP C) in surd
form.
P
b
3
b
2
b
A
b
3
B
C