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This involves Trigonometric Equations, Law of Cosines, Law of Sines, Triangle Applications.1. Solve the triangle:
possible, say so.
. If it is not
This triangle is not solvable.
2. Find the side length, x, of the given triangle.
3.
Solve the given equation over the interval
4.
Use Heron’s Formula, that is, the area of a triangle is
triangle contains sides a, b and c and
lengths:
, where the
to find the area of the triangle with side
.
0.65 square units
2.33 square units
1.5 square units
3.9 square units
5. Solve the given equation over the interval [0, 2π): csc2 x + 2 csc x = 0.
x = 0 and x = 2π
6.
Solve the triangle:
. If it is not possible, say so.
This triangle is not solvable.
7. If possible, find the area of the triangle defined by the following: a = 1.2, c = 2.1, β = 5°.
1.26 square units
2.2 square units
1.89 square units
0.11 square units
8. Solve the given equation over the interval [0, 2π): sec2 x = 1.
x = 0 and x = 2π
x = 0 and x = π
9. If possible, find the area of the triangle defined by the following: b = 11, c = 8, a = 28°.
44 square units
21.8 square units
74.8 square units
20.7 square units
10. Solve the given equation over the interval [0, 2π): 2 cos x − sin2 x = cos2 x.
11.
Solve the triangle:
. If it is not possible, say so.
This triangle is not solvable.
12.
Solve the triangle:
. If it is not possible, say so.
This triangle is not solvable.
13. Solve the triangle: a = 20, b = 10, c = 15. If it is not possible, say so.
This triangle is not solvable.
14. Solve the triangle: a = 7, b = 9, C = 100°. If it is not possible, say so.
This triangle is not solvable.
15.
Use Heron’s Formula, that is, the area of a triangle is
triangle contains sides a, b and c and
lengths: a = 12.4, b = 13.7, c = 20.2.
, where the
to find the area of the triangle with side
138.4 square units
125.2 square units
84.9 square units
83.3 square units
16. Solve the given equation over the interval [0, 2π): 6 sin2 x − 5 sin x + 1 = 0.
17.
Use Heron’s Formula, that is, the area of a triangle is
, where the
triangle contains sides a, b and c and
lengths:
to find the area of the triangle with side
.
0.06 square units
0.1 square units
0.04 square units
0.08 square units
18. Find the measurement of angle A.
19. Solve the triangle: a = 10, b = 10, c = 15. If it is not possible, say so.
This triangle is not solvable.
20. The triangle described is of the form SSA. Determine if there is no triangle possible, one triangle
possible, or two triangles possible. If only one triangle is possible, solve the triangle. If either two
triangles may be formed or no triangle may be formed, say so. The triangle is defined
by:
Two triangles may be formed.
No triangle can be formed from this information.

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