MATH 1090 Algebra and Trigonometry
Problem Set 8 - Questions
2002 Winter
Note:
Without the Symbol font, the symbol
(theta) appears as q,
the symbol
(alpha) appears as p,
the symbol
(alpha) appears as a
and the symbol
(beta) appears as b.
In Questions 1 to 3, verify the identity.
[using a difference formula]
Find the exact values of
sin 105°
tan 165°
cos 345°
Given that a is an angle in the fourth
quadrant with cos a = 1/2 and
that b is an angle in the third
quadrant with
sin b = -1/3 ,
find the exact values of
sin (a + b) ,cos (a + b) and
tan (a + b) .
Given that csc a = -5/4 and
that 3p/2
< a <
2p,
Given that sec q +
sec2(q /2)
= 0 , find the exact value of
sec q.
Find the exact value of
Find all solutions q in the interval
[0, 2p) for each of the following
trigonometric equations:
2 cos2q
- 1 = 0
cos 2q +
2 cos q + 1
= 0
Also: Try the questions from exercise sets 6.1 to 6.5
of the textbook.
The solutions to this problem set will
appear elsewhere on this web site.