This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 19 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 19 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. A 16 foot ladder leans against a building. If the angle the ladder makes with the ground is 68$^\circ$, how high up the building does the ladder reach? A) 39.6. B) 6.0. C) 14.8. D) 13.6. Show Answer Correct Answer: C) 14.8. 2. Checkpoint 8a:Use reference angles to find the exact value of cos( $\frac{17\pi}{6}$ A) $-\frac{\sqrt{3}}{2}$. B) -23 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{\sqrt{3}}{2}$. 3. Sin 3 $\pi$ A) 1. B) -1. C) 0. D) $\sqrt{ }$. Show Answer Correct Answer: B) -1. 4. The derivative of tan3x with respect to x is A) Sec$^{2}$3x. B) $^{}$tan 3x sec 3x. C) 3 sec$^{2 }$3x. D) -3 sec$^{2 }$3x. Show Answer Correct Answer: C) 3 sec$^{2 }$3x. 5. Which of the following statements are false?I. sin 45 > sin 44II. sin 30 < sin 120 III. sin 145 > sin 135 A) I. B) II. C) III. D) I and II. E) I, II and III. Show Answer Correct Answer: C) III. 6. In the equation y = acosb(x) + d, b is A) Period. B) Frequency. C) Amplitude. D) Midline. Show Answer Correct Answer: B) Frequency. 7. The equation represents the height of a passenger on a Ferris wheel (in feet) as a function of time (in seconds) $h=42+29\sin\left(15t\right)$ A) 30 degrees. B) 210 degrees. C) 75 degrees. D) 315 degrees. Show Answer Correct Answer: A) 30 degrees. 8. If A is square matrix of order 3 such that |AdjA| =64, find |A| A) 64. B) 8. C) 4. D) 192. Show Answer Correct Answer: B) 8. 9. If tangent function is ..... asymptote A) Horizontal. B) None. C) Verital. D) None of the above. Show Answer Correct Answer: C) Verital. 10. Determine if the trig function shown below has vertical stretch or vertical compression. $f\left(x\right)=-\frac{5}{3}\csc\left(2x+\pi\right)-2$ A) Vertical Stretch. B) Vertical Compression. C) All the above. D) None of the above. Show Answer Correct Answer: A) Vertical Stretch. 11. Given that $\left(-4, 3\right)$ $\theta, $ $\theta?$ A) $\frac{4}{5}$. B) $\frac{3}{5}$. C) $-\frac{4}{5}$. D) $-\frac{3}{5}$. Show Answer Correct Answer: C) $-\frac{4}{5}$. 12. What is the value of cosine at 270 A) 0. B) 1. C) -1. D) None of the above. Show Answer Correct Answer: A) 0. 13. $\sec^{-1}\left(\frac{-2}{\sqrt{3}}\right)$ A) $\frac{\pi}{6}$. B) $\frac{-\pi}{6}$. C) $\frac{5\pi}{6}$. D) $\frac{7\pi}{6}$. Show Answer Correct Answer: C) $\frac{5\pi}{6}$. 14. For what angles are sine and cosine the same? A) 0$^{o}$. B) 45$^{o }$and 135$^{0}$$^{}$. C) 45$^{o }$and 225$^{0}$. D) 45$^{o }$and 315$^{0}$$^{}$. Show Answer Correct Answer: C) 45$^{o }$and 225$^{0}$. 15. What is $\frac{5\pi}{6}$ A) 135. B) 150. C) 210. D) 120. Show Answer Correct Answer: B) 150. 16. What does the cosine of an angle Theta represent in the unit circle? A) None of the above. B) Vertical distance from x-axis. C) Horizontal distance from y-axis. D) Radius of the circle. Show Answer Correct Answer: C) Horizontal distance from y-axis. 17. What is the phase shift of $y=\tan\left(2x-\pi\right)$ A) Right $\pi$. B) Left $\pi$. C) Right $\frac{\pi}{2}$. D) Left $\frac{\pi}{2}$. Show Answer Correct Answer: C) Right $\frac{\pi}{2}$. 18. What is the value of $\tan\left(\frac{3\pi}{2}\right)$ A) $-1$. B) Undefined. C) $\sqrt{3}$. D) $-\frac{2\sqrt{3}}{3}$. Show Answer Correct Answer: B) Undefined. 19. Determine the value of tan 102$^\circ$ 38' based on the corresponding reference angle. A) -4.4615. B) 4.4615. C) -0.2187. D) 0.9758. Show Answer Correct Answer: A) -4.4615. 20. Half the distance between the maximum and minimum values is called ..... ? ..... A) Amplitude. B) Period. C) Zeros. D) Asymptotes. Show Answer Correct Answer: A) Amplitude. 21. Find cos x when tan x = 24/7. A) 24/25. B) 7/25. C) 7/24. D) 25/24. Show Answer Correct Answer: A) 24/25. 22. What is the amplitude of $y=-3\sin\left(2x\right)-4$ A) -3. B) 3. C) 2. D) -4. E) 4. Show Answer Correct Answer: B) 3. 23. Which expression is equivalent to the trigonometric expression $\frac{\tan\left(\theta\right)}{\sin\left(\theta\right)}$ A) $\cot\left(\theta\right)$. B) $\sec\left(\theta\right)$. C) $\cos\left(\theta\right)$. D) $\csc\left(\theta\right)$. Show Answer Correct Answer: B) $\sec\left(\theta\right)$. 24. What is the acronym to remember the signs of the six trig functions in the coordinate system? A) CAST. B) ASST. C) ASTS. D) ASTC. Show Answer Correct Answer: D) ASTC. 25. What is the inverse formula for cosec x? A) 1/sin(x). B) 1/cos(x). C) Cos(x). D) Tan(x). Show Answer Correct Answer: A) 1/sin(x). ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 3 Trigonometric Functions Quiz 1Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 2Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 3Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 4Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 5Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 6Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 7Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 8Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books