Name: _______________________________________________________
Date: ___________________________
Pre-Calc – Review for Test on Solving Triangles
Part I: Review Material
1. Find the exact value: sin

3. Find the exact value: tan
3
2. In which quadrant does the terminal side of a standard
 cos 
position angle of 
7
6
4. Find the exact value: sin
5. Which expression is equivalent to
cos30 cos 20  sin30 sin 20 ?
(a) sin50
(c) sin10
3
4
6. Find the exact value of sin 285 .
(b) cos50
(d) cos10
7. What is the exact value of 2sin

8
cos

8
?
9. Which of the following is NOT an identity for cos 2 ?
(a) 2 cos 2   1
(c) cos 2   sin 2 
13
lie?
4
(b) 1  2sin 2 
(d) cos 2   sin 2 
8. What is the value of tan 2A if tan A   5 ?
10. Which of the following IS an identity for sin  A  B  ?
(a)
(b)
(c)
(d)
sin A cos B  cos Asin B
sin A cos B  cos Asin B
sin Asin B  cos A cos B
sin Asin B  cos A cos B
Part II: New Material
11. In PQR , P  60 , q  4 , and r  7 . Find the
exact area of PQR .
12. In ABC , A  60 , b  4 , and c  6 . Find the
exact value of side a .
13. In ABC , a  6 , B  60 , and
the exact value of side b .
14. In XYZ , X  21 , x  6 , and y  9 . Find acute
Y to the nearest degree.
A  45 . Find
15. In ABC , a  9 , b  40 , and c  41 . Find
the nearest degree.
A to
2
ABC , a  5 , b  9 , and cos C  . Find the
3
exact value of side c .
17. In
16. What is the exact area of a parallelogram that has
two adjacent sides of 13cm and 8cm and an included
angle of 45 ?
18. From point A on one bank of a river, the angle of
elevation of the top of a tree is 43 . As shown in the
figure below, point B is 100 feet behind point A and in the
same straight line as point A and point C. From point B,
the angle of elevation of the top of the tree is 32 . Find
the distance from A to C to the nearest foot.