Module 4: Foundations of Trigonometry

 

Are You Ready?
 

Complete these questions. If you experience difficulty and need help, visit Refresher or contact your teacher.

  1. Look at the triangle shown.

     
    This diagram shows a right triangle with hypotenuse of length 9 and one other side of length 8.

    1. Determine the unknown side of the triangle. Answer

    2. Determine the sine, cosine, and tangent ratios for the triangle. Leave your answers in the form of a ratio. Answer
  2. A 30°-60°-90° triangle is shown.

     
    This diagram shows a right triangle. The other two angles are 60 degrees and 30 degrees.
    1. If the hypotenuse has a length of 2 and the length of the horizontal leg is 1, determine the exact value of the length of the vertical leg. Answer
    2. Determine the exact value of sin 30°. Answer
    3. Determine the exact value of sin 150°. Answer
  3.  
    1. Draw a triangle with angles 45°, 45°, and 90°. Answer
    2. If the hypotenuse has a length of determine the exact value of the length of the other two sides. Answer
    3. Determine the exact value of sin 45° and cos 45°. Answer
  4. Rationalize the denominators in the following fractions.
    1.  Answer
    2.  Answer

If you answered the Are You Ready? questions without difficulty, move to Discover.

 

If you found the Are You Ready? questions difficult, complete Refresher.