Try It

  1. Match each trigonometric function to the correct definition.

    Functions

    1. cosine
    2. cosecant
    3. secant
    4. tangent
    5. cotangent
    6. sine

    Definitions

    1. opposite leg/hypotenuse
    2. adjacent leg/hypotenuse
    3. opposite leg/adjacent leg
    4. hypotenuse/opposite leg
    5. hypotenuse/adjacent leg
    6. adjacent leg/opposite leg

    Answers

    1. sine = opposite leg/hypotenuse
    2. cosine = adjacent leg/hypotenuse
    3. tangent = opposite leg/adjacent leg
    4. cosecant = hypotenuse/opposite leg
    5. seceant = hypotenuse/adjacent leg
    6. cotangent = adjacent leg/opposite leg
  2. According to the diagram, a/c represents which trigonometric function?
    1. sin A
    2. cos A
    3. cot A
    4. tan A

    Answer: a. sin A

    3. Use the image below to answer all the multiple choices questions.

    Triangle ACB, Segment A B is labeled c. Segment A C is labeled b. Segment C B is labeled a. Angle C measures 90 degrees.
  3. According to the diagram, b/c represents which trigonometric function?
    1. sin A
    2. cos A
    3. cot A
    4. tan A

    Answer: b. cos A

  4. According to the diagram, a/b represents which trigonometric function?
    1. sin A
    2. cos A
    3. cot A
    4. tan A

    Answer: d. tan A

  5. According to the diagram, b/a represents which trigonometric function?
    1. sec A
    2. cos A
    3. cot A
    4. csc A

    Answer: c. cot A

  6. According to the diagram, c/a represents which trigonometric function?
    1. sec A
    2. cos A
    3. cot A
    4. csc A

    Answer: d. csc A

  7. According to the diagram, c/b represents which trigonometric function?
    1. sec A
    2. cos A
    3. cot A
    4. csc A

    Answer: a. sec A

  8. According to the diagram, a/c represents which trigonometric function?
    1. sec A
    2. cos A
    3. cot A
    4. csc A

    Answer: b. cos A

  9. According to the diagram, a/b represents which trigonometric function?
    1. sec B
    2. tan B
    3. cot B
    4. csc B

    Answer: b. cot B

  10. According to the diagram, c/a represents which trigonometric function?
    1. sec B
    2. tan B
    3. cot B
    4. csc B

    Answer: a. sec B

  11. Find the values of the following in simplest fraction form then divide to represent in decimal form. AB = 25, AC = 7, BC = 24
    Triangle ACB, AB equals 25. AC equals 7. CB equals 24. Angle C measures 90 degrees.

    Values

    1. sin A = blank/25
    2. cos A = 7/blank
    3. tan A = 24/blank
    4. sin A =
    5. cos A =
    6. tan A =

    Possible Answers

    1. 0.9600
    2. 25
    3. 24
    4. 3.429
    5. 7
    6. 0.2800

    Answers

    1. sin A = blank/25 24
    2. cos A = 7/blank 25
    3. tan A = 24/blank 7
    4. sin A = 0.9600
    5. cos A = 0.2800
    6. tan A = 3.429
  12. Use the Online Trigonometric Table of Values to find the following.

    Find Values

    1. sin 40°
    2. tan 79°
    3. cos 56°

    Possible Answers

    1. 5.145
    2. 0.5592
    3. 0.6428

    Answers

    1. sin 40° = 0.6428
    2. tan 79° = 5.145
    3. cos 56° = 0.5592
  13. Use a scientific calculator to find the following values. Drag and drop the answers to the correct boxes.

    Find Values

    1. sin 81°
    2. tan 64°
    3. cos 21°

    Possible Answers

    1. 0.9877
    2. 0.4387
    3. 0.3839

    Answers

    1. sin 81° = 0.9877
    2. tan 64° = 0.4387
    3. cos 21° = 0.3839