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Analytical Trigonometry Exercises

Example 1

A triangle has sides measuring 7 units and 9 units. The angle opposite the 7 unit side measures 32°. What is the measurement of the angle opposite the 9 unit side?

Example 2

A triangle has sides measuring 15 units and 20 units. The angle between them measures 75°. What is the measurement of the side opposite the 75° angle?

Example 3

A triangle has angles measuring 87°, 32°, and 61°. If the side opposite the 87° angle is 22 units long, what is the length of the side opposite the 61° angle?

Example 4

A triangle has sides measuring 6, 10, and 12 units. What is the measurement of the angle opposite the side that is 12 units long?

Example 5

A triangle has sides measuring 45 units and 43 units, with an included angle of 33°. What is the measurement of the side opposite the 33° angle?