# NES Math: Trigonometric Functions Chapter Exam

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### Page 1

#### Question 1 1. Which of the following shapes can the Pythagorean Theorem apply to

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Question 2
2.
Find the value of cos(2*x*) if sin(*x*) = 5/13 and *x* is in Quadrant II.

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Question 3
3.
In the pictured triangle, side *b* is 12 and side *c* is 16. If ∠A is 84 degrees, then approximately how long is side *a*? Round the value of the cosine to 2 decimal places.

#### Question 4 4. What is x?

#### Question 5 5. What is z in terms of x and y?

### Page 2

#### Question 6 6. What is the cotangent of pi/6 radians?

#### Question 7 7. The radius of a unit circle is _____.

#### Question 8 8. What is x?

#### Question 9 9. What angle measure divides the first quadrant in half?

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Question 10
10.
Which of the following is equal to cos(2*x*)?

### Page 3

#### Question 11 11. If the leg of a 45-45-90 triangle is 19, approximately how long is the hypotenuse?

#### Question 12 12. In a right triangle, the sine of an angle is equal to _____.

#### Question 13 13. Consider a right triangle on the unit circle. If theta (θ) is 90, then cos(θ) is _____.

#### Question 14 14. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

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Question 15
15.
Which of the following is equal to sin(2*x*)?

### Page 4

#### Question 16 16. If the two legs of a triangle are 3 and 8, what is the hypotenuse?

#### Question 17 17. The lines a and b are parallel lines of length 5 and 2. The lines d and e are parallel to one another, and both are perpendicular to a and b. What is the length of c?

#### Question 18 18. Which of the following is a good definition for the secant function?

#### Question 19 19. What is the trigonometric ratio for cosine?

#### Question 20 20. What is the value of tan(π/3)?

### Page 5

#### Question 21 21. What is x?

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Question 22
22.
Which of the following is equal to tan(2*x*)?

#### Question 23 23. The cotangent is the reciprocal of which function?

#### Question 24 24. What is cosine of 0 degrees?

#### Question 25 25. What is the acronym to remember sine, cosine and tangent?

### Page 6

#### Question 26 26. Which of the following angles is not valid for the tangent function?

#### Question 27 27. In the pictured triangle, what ratio represents the cosine of theta?

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Question 28
28.
In the pictured triangle, side *a* is 9 and side *b* is 6. If ∠C is 26 degrees, then approximately how long is side *c*? Round the value of the cosine to 2 decimal places.

#### Question 29 29. What is the trigonometric ratio for tangent?

#### Question 30 30. What is x?

#### NES Math: Trigonometric Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!