CHAPTER 8 PRACTICE TEST

As a study aid, we have included complete solutions for each Practice Test problem at the end of this book.

  1. Change 150 °  to radians in terms of π . 

  2. Determine the sign of (a) sec 285 ° , (b) sin 245 ° , (c) cot 265 ° .

  3. Express sin 205 °  in terms of the sine of the reference angle. Do not evaluate.

  4. Find sin θ and sec θ if θ is in standard position and the terminal side passes through ( − 9 , 12) . 

  5. An airplane propeller blade is 2.80 ft long and rotates at 2200 r/min. What is the linear velocity of a point on the tip of the blade?

  6. Given that 3.572 is the measure of an angle, express the angle in degrees.

  7. If tan θ = 0.2396 ,  find θ ,  in degrees, for 0 °  ≤ θ < 360 °  . 

  8. If cos θ =  − 0.8244 and csc θ < 0 ,  find θ in radians for 0 ≤ θ < 2π . 

  9. If sin θ =  − 67 and cos θ > 0 ,  find tan θ . 

  10. The floor of a sunroom is in the shape of a circular sector of arc length 32.0 ft and radius 8.50 ft. What is the area of the floor?

  11. The face of a flat wedge is a circular sector with an area of 38.5cm2 and diameter of 12.2 cm. What is the arc length of the wedge?

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