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1.
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Find the exact values of the three trignometric
functions of the angle shown in the figure. (Use
the Pythagorean Theorem to find the third side of the triangle.)
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2.
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Use the Pythagorean Theorem to determine the third
side and then find the three trignometric functions of : ,
, and
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3.
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Use the Pythagorean Theorem to determine the third
side and then find the two trignometric functions of : and
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4.
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Select an appropriate triangle to complete the
table.
Function |
(deg) |
(rad) | Function
Value | | | | | | | | |
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5.
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Use a calculator to evaluate function given below.
Round your answer to four decimal places. (Be sure the calculator is in the correct angle
mode.)
a. |
0.9965 | b. |
0.0834 | c. |
0.0842 | d. |
0.7448 | e. |
1.1053 |
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6.
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Use a calculator to evaluate function given below.
Round your answer to four decimal places. (Be sure the calculator is in the correct angle
mode.)
a. |
–11.4737 | b. |
–0.0875 | c. |
2.0038 | d. |
–0.0872 | e. |
–11.4301 |
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7.
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A guy wire runs from the ground to a cell tower.
The wire is attached to the cell tower feet above the ground. The angle formed
between the wire and the ground is (see figure).
How long is the guy wire? Round your answer to one decimal
place.
a. | The guy wire is about 70.8 feet
long. | b. | The guy wire is about 141.5 feet
long. | c. | The guy wire is about 47.2 feet
long. | d. | The guy wire is about 283.1 feet
long. | e. | The guy wire is about 424.6 feet
long. |
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8.
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Given and ,
determine the following:
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9.
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If , find the value of q in degrees without the aid of a
calculator.
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10.
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Using the figure below, if ,
determine the exact value of x.
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