Exercise 5 – 3:
1.For each expression select the closest answer from the list provided:
a)cos 45 ◦
1
2 1
p
2 p^13 p^12
b)sin 45 ◦
p
2 12 p^12
p 3
1 1
c)tan 30 ◦
1
2
p 3
1
p^1
2
p 3
2
p^1
3
d)tan 60 ◦
p
3
2
p^1
2
p^1
3
p
3
1
1
1
e)cos 45 ◦
p 3
2
1
2
p^1
3
p^1
2
p
2
f)tan 30 ◦
p^1
2
1
2
p
3
2
1
1
p^1
3
g)tan 30 ◦
p^1
3
1
2
p^1
2
p
3
2
p
3
1
h)cos 60 ◦
p^1
3
1
2
p
3
2
p
3
1
p^1
2
2.Solve forcosin the following triangle, in surd form:
5
5
p
2
5
3.Solve fortanin the following triangle, in surd form:
6
12
6
p
3
4.Calculate the value of the following without using a calculator:
a) sin 45 °cos 45 ° b)cos 60 °+tan 45 ° c) sin 60 ° cos 60 °
Chapter 5. Trigonometry 119