Questions

For the first twelve problems, refer to triangle ABC shown below to determine each of the given values. Give two answers: first state the exact answer as a fraction, and then second, state the decimal answer rounded to the nearest ten thousandth.

1) sin C

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2) sin A

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3) cos A

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4) cos C

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5) tan C

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6) tan A

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7) csc A

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8) csc C

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9) sec C

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10) sec A

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11) cot A

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12) cot C

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For the next three problems, find the measurement of angle M by using inverse trig functions. Round the answers to the nearest tenth.

13) Find the measurement of angle M.

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14) Find the measurement of angle M.

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15) Find the measurement of angle M.

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For the next three problems, refer to triangle ABC shown below. Round the angle measures to the nearest whole degree and the side lengths to the nearest tenth.

16) Find the measurement of angle B.

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17) Find the length of segment AC.

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18) Find the length of segment CB.

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For the next three problems, refer to triangle RST shown below. Round the angle measures to the nearest whole degree and the side lengths to the nearest tenth.

19) Find the measurement of angle S.

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20) Find the measurement of angle R.

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21) Find the length of segment ST.

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For the next three problems, refer to triangle LMN shown below. Round the angle measures to the nearest whole degree and the side lengths to the nearest tenth.