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Basics of Trigonometry Level - 2

50 questions. Choose an option and see at once whether it was right, with the correct answer and a worked solution. No timer, and nothing to submit.

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  1. Question 1

    Find the exact value of tan(15°).

  2. Question 2

    Find the exact value of cos(22.5°).

  3. Question 3

    Evaluate sin75°cos15° − cos75°sin15°.


  4. Question 4

    Evaluate tan(22.5°) + cot(22.5°).

  5. Question 5

    Find the exact value of sin(15°) + cos(15°).

  6. Question 6

    Evaluate the expression:

    $$\frac{\tan(75^\circ) - \tan(15^\circ)}{1 + \tan(75^\circ)\tan(15^\circ)}$$
  7. Question 7

    Find the exact value of tan(67.5°) − tan(22.5°).

  8. Question 8

    Evaluate 8sin15°.cos15°.cos30°.


  9. Question 9

    Find the value of:

    $$\frac{1 - \tan^2(22.5^\circ)}{1 + \tan^2(22.5^\circ)}$$
  10. Question 10

    Evaluate cos(22.5°).cos(67.5°).

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