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1. Given an angle, where can be positive or negative, and possibly quadrantal: Express two different angles that are coterminal with angle What an expression

1. Given an angle, where can be positive or negative, and possibly quadrantal:

  • Express two different angles that are coterminal with angle
  • What an expression for all angles coterminal with angle

2. Two towers are 50 feet apart. Tower 1 is 30.52 feet tall while Tower 2 is of an unknown height. On a sunny day, at 4 PM local time, the Sun casts a shadow of 50.3 feet from Tower 1 and a shadow of 1,080 inches from Tower 2. Find the height of Tower 2 to the nearest hundredth of a foot.

3. Use exact trigonometric function values to evaluate the following expressions:

  • 3 cos 30degree + 5 csc 120degree - 1/4 tan 300degree (write an exact answer, not an approximation)
  • What is an approximation to the answer from above to six decimal places?

4. Find a value of angle in the interval [0, 270degree] such that cot angle = 1.257552, and express it as follows:

  • Express degree in decimal degrees to six decimal places.
  • Express degree in degrees, minutes, and seconds rounded to the nearest second.

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