MATH 1090 Algebra and Trigonometry
Problem Set 8 - Questions

In Questions 1 to 3, verify the identity.

3.         [using a difference formula]

4. Find the exact values of
   1.   sin 105°
   2.   tan 165°
   3.   cos 345°

5. 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) .

6. Given that   csc a = -5/4   and that 3p/2 < a < 2p,
   

7. Given that   sec q   +   sec²(q /2)   =   0 , find the exact value of   sec q.

8. Find the exact value of  

9. Find all solutions q in the interval [0, 2p) for each of the following trigonometric equations:
   
   1.   2 cos²q   - 1   =   0
   2.   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.

[Index of Questions]

[Problem Set & Quiz Solutions]