1. Exam: 6232A
1. Using exact values, verify that
cos 60°=1-2 sin² 30°
2. Using exact values, find the value of:
a. 12 sin 30°- 6 tan 45°+
Sin 2A+tan - cos A+sec (A+15°), when A=30°
3. Write the other functions of x if cos x=
4. In a right triangle sin A= and c=17. Find a and b.
Be sure to draw a right triangle and letter it properly.
5. Find the fallowing functions correct to five decimal places:
a. Sin 22° 43’ f. cot 19° 0’ 25’’
b. cos 44° 56’ g. tan 64° 6’ 45’’
c. sin 49° 17’ h. cos 29° 45’ 48’’
d. tan 11° 37’ i. cot 78° 45’ 50’’
e. sin 79° 23’ 30’’ j. cos 15° 12’ 51’’
6. Find the acute angle A to the nearest second when
a. sin A=0.30985 f. cos A=0.55570
b. cot A=0.52613 g. sin A=0.92112
c. cos A=0.77273 h. tan A=0.13476
d. tan A=6.63831 i. cot A=0.32323
e. sin A=0.10655 j. cos A=0.75273
7. The vertex angle of an isosceles triangle is 57° 24’ and each of its equal sides is 375.5 ft
long. Find the altitude of the triangle.
8. Solve the fallowing right triangles:
a. A=117 ft, b=16.35 ft
b. B=8° 29’, a=32.8 ft
9. A man standing on top of a building sees an automobile on a street below him. The
angle of depression is 36° 22’. If his eye is 550 ft above the level of the automobile, how
far is the automobile from him?
10. When the sun’s angle of elevation is 30° the shadow of a post is 6 ft longer than when
the angle is 45°. Find the height of the post.

2. 11. In a right triangle, given a=32.8 ft and A=28° 30’ 15’’, solve for b and c.