This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of cot x when sin x = 6/10? A) 6/8. B) 8/10. C) 6/10. D) 8/6. Show Answer Correct Answer: D) 8/6. 2. $\lim_{x\rightarrow0}\\frac{\tan x}{x}$ A) 0. B) DNE. C) 1. D) -1. Show Answer Correct Answer: C) 1. 3. $\frac{\text{d}}{\text{d}y}\left(\frac{\sin^2x}{4x^2}\right)$ A) $\frac{x\cos x-\sin^2x}{2x^3}$. B) $-\frac{\sin x\left(x\cos x+\sin x\right)}{2x^3}$. C) $\frac{x\cos^2x-\sin^2x}{2x^3}$. D) $\frac{\sin x\left(x\cos x-\sin x\right)}{2x^3}$. E) $-\frac{x\cos x+\sin^2x}{2x^3}$. Show Answer Correct Answer: D) $\frac{\sin x\left(x\cos x-\sin x\right)}{2x^3}$. 4. What is the expression for cos(A-B)? A) Cos A + cos B. B) Cos A cos B + sin A sin B. C) Cos A + sin B. D) Cos A-cos B. Show Answer Correct Answer: B) Cos A cos B + sin A sin B. 5. What is the final equation of the cosine function derived in the video? A) Y = 2 cos(0.5(x + 90)) + 2. B) Y = cos(0.5(x-90))-2. C) Y = 2 cos(x-90)-2. D) Y = 2 cos(0.5(x-90))-2. Show Answer Correct Answer: D) Y = 2 cos(0.5(x-90))-2. 6. Which of the following functions has a range that is $\left(-\infty, \infty\right)$ A) $y=\sin x$. B) $y=2\csc2x$. C) $y=\frac{1}{3}\cot\left(x-\pi\right)$. D) $y=-4\cos\left(3x+\frac{\pi}{2}\right)$. Show Answer Correct Answer: C) $y=\frac{1}{3}\cot\left(x-\pi\right)$. 7. Determine if the trig function shown below has vertical or horizontal stretch or compression. $f\left(x\right)=-3\sin\left(2x+\pi\right)-2$ A) Horizontal Stretch by a factor of 3. B) Horizontal Compression by a factor of 1/2. C) Vertical Stretch by a factor of 1/3. D) Vertical Compression by a factor of 2. Show Answer Correct Answer: B) Horizontal Compression by a factor of 1/2. 8. Sin ( 360$^\circ$-x) = A) -cos x. B) Cos x. C) -sin x. D) Sin x. Show Answer Correct Answer: C) -sin x. 9. Find the exact value of $\sin^{-1}\left(-\frac{1}{2}\right)$ A) $-\frac{\pi}{6}$. B) $-\frac{\pi}{4}$. C) $\frac{\pi}{4}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: A) $-\frac{\pi}{6}$. 10. Convierta $\frac{1}{5}\pi$ A) 36$^\circ$. B) 33$^\circ$. C) 41$^\circ$. D) 39$^\circ$. Show Answer Correct Answer: A) 36$^\circ$. 11. Which of the relationship between trigonometric functions with its corresponding reference angle is TRUE? A) Cos 127$^\circ$ = cos 53$^\circ$. B) Tan 349$^\circ$ =-tan 11$^\circ$. C) Cos 258 $^\circ$ = cos 78$^\circ$. D) Sin 167$^\circ$ =-sin 13$^\circ$. Show Answer Correct Answer: B) Tan 349$^\circ$ =-tan 11$^\circ$. 12. Please choose the correct sum and difference formula:sin ($\alpha$-$\beta$) = A) Cos $\alpha$ cos $\beta$ + sin $\alpha$ sin $\beta$. B) Sin $\alpha$ cos $\beta$-cos $\alpha$ sin $\beta$. C) Cos $\alpha$ cos $\beta$-sin $\alpha$ sin $\beta$. D) Sin $\alpha$ cos $\beta$ + cos $\alpha$ sin $\beta$. Show Answer Correct Answer: B) Sin $\alpha$ cos $\beta$-cos $\alpha$ sin $\beta$. 13. 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. 14. 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) $-\frac{\sqrt{3}}{2}$. 15. The derivative of tan3x with respect to x is A) $^{}$tan 3x sec 3x. B) 3 sec$^{2 }$3x. C) Sec$^{2}$3x. D) -3 sec$^{2 }$3x. Show Answer Correct Answer: B) 3 sec$^{2 }$3x. 16. 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. 17. In the equation y = acosb(x) + d, b is A) Midline. B) Amplitude. C) Period. D) Frequency. Show Answer Correct Answer: D) Frequency. 18. 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) 210 degrees. B) 30 degrees. C) 75 degrees. D) 315 degrees. Show Answer Correct Answer: B) 30 degrees. 19. If A is square matrix of order 3 such that |AdjA| =64, find |A| A) 4. B) 8. C) 192. D) 64. Show Answer Correct Answer: B) 8. 20. If tangent function is ..... asymptote A) Horizontal. B) None. C) Verital. D) None of the above. Show Answer Correct Answer: C) Verital. 21. 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. 22. Given that $\left(-4, 3\right)$ $\theta, $ $\theta?$ A) $\frac{3}{5}$. B) $\frac{4}{5}$. C) $-\frac{3}{5}$. D) $-\frac{4}{5}$. Show Answer Correct Answer: D) $-\frac{4}{5}$. 23. 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. 24. $\sec^{-1}\left(\frac{-2}{\sqrt{3}}\right)$ A) $\frac{-\pi}{6}$. B) $\frac{\pi}{6}$. C) $\frac{5\pi}{6}$. D) $\frac{7\pi}{6}$. Show Answer Correct Answer: C) $\frac{5\pi}{6}$. 25. 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}$. 26. What is $\frac{5\pi}{6}$ A) 135. B) 120. C) 150. D) 210. Show Answer Correct Answer: C) 150. 27. 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. 28. What is the phase shift of $y=\tan\left(2x-\pi\right)$ A) Left $\pi$. B) Left $\frac{\pi}{2}$. C) Right $\frac{\pi}{2}$. D) Right $\pi$. Show Answer Correct Answer: C) Right $\frac{\pi}{2}$. 29. What is the value of $\tan\left(\frac{3\pi}{2}\right)$ A) $\sqrt{3}$. B) $-1$. C) Undefined. D) $-\frac{2\sqrt{3}}{3}$. Show Answer Correct Answer: C) Undefined. 30. Determine the value of tan 102$^\circ$ 38' based on the corresponding reference angle. A) -4.4615. B) 4.4615. C) 0.9758. D) -0.2187. Show Answer Correct Answer: A) -4.4615. 31. Half the distance between the maximum and minimum values is called ..... ? ..... A) Period. B) Asymptotes. C) Zeros. D) Amplitude. Show Answer Correct Answer: D) Amplitude. 32. Find cos x when tan x = 24/7. A) 7/25. B) 25/24. C) 24/25. D) 7/24. Show Answer Correct Answer: C) 24/25. 33. What is the amplitude of $y=-3\sin\left(2x\right)-4$ A) 4. B) -4. C) 2. D) 3. E) -3. Show Answer Correct Answer: D) 3. 34. Which expression is equivalent to the trigonometric expression $\frac{\tan\left(\theta\right)}{\sin\left(\theta\right)}$ A) $\cot\left(\theta\right)$. B) $\cos\left(\theta\right)$. C) $\csc\left(\theta\right)$. D) $\sec\left(\theta\right)$. Show Answer Correct Answer: D) $\sec\left(\theta\right)$. 35. What is the acronym to remember the signs of the six trig functions in the coordinate system? A) CAST. B) ASTC. C) ASTS. D) ASST. Show Answer Correct Answer: B) ASTC. 36. What is the inverse formula for cosec x? A) 1/cos(x). B) 1/sin(x). C) Tan(x). D) Cos(x). Show Answer Correct Answer: B) 1/sin(x). 37. What is the radius of the unit circle used to define sine and cosine? A) 1. B) 10. C) 2. D) 0.5. Show Answer Correct Answer: A) 1. 38. Which of the following is the correct expression for sin(A-B)? A) Sin A cos B-cos A sin B. B) Sin A + sin B. C) Sin A sin B. D) Sin A-sin B. Show Answer Correct Answer: A) Sin A cos B-cos A sin B. 39. What is the period of $y=4\cos\left(2x\right)+1$ A) 2. B) $\pi$. C) 4. D) 1. E) $2\pi$. Show Answer Correct Answer: B) $\pi$. 40. By changing the expression in terms of $\cos x$ $\sin x\tan x=3\cos x$ $0^0\le x\le360^0$ A) 30$^{0}$, 150$^{0}$, 210$^{0}$, 330$^{0}$. B) 60$^{0}$, 120$^{0}$, 240$^{0}$, 300$^{0}$. C) 60$^{0}$, 120$^{0}$, 210$^{0}$, 300$^{0}$. D) None of the above. Show Answer Correct Answer: B) 60$^{0}$, 120$^{0}$, 240$^{0}$, 300$^{0}$. 41. $\lim_{x\rightarrow0}\\frac{1-\cos\left(-x\right)}{3x}$ A) -3. B) $\frac{1}{3}$. C) $-\frac{1}{3}$. D) 3. E) $0$. Show Answer Correct Answer: E) $0$. 42. When a trig function is undefined there will be a ..... that passes through that x-value. A) Point. B) Vertical asymptote. C) Horizontal asymptote. D) Blank. Show Answer Correct Answer: B) Vertical asymptote. 43. What is the missing number?Sin(70) = Cos ( ) A) 30. B) 20. C) 25. D) 35. Show Answer Correct Answer: B) 20. 44. Find arccos $\frac{\sqrt[]{2}}{2}$ A) 45$^\circ$. B) 0$^\circ$. C) 30$^\circ$. D) 90$^\circ$. E) 60$^\circ$. Show Answer Correct Answer: A) 45$^\circ$. 45. $\cot\left(\frac{\pi}{2}\right)=$ A) $-1$. B) 0. C) Undefined. D) 1. Show Answer Correct Answer: B) 0. 46. $\sec\left(\frac{5\pi}{3}\right)=$ A) -2. B) $-\frac{2}{\sqrt{3}}$. C) 2. D) $\frac{2}{\sqrt{3}}$. Show Answer Correct Answer: C) 2. 47. What is the B value if the new period of the graph is 720 degrees? A) 0.5. B) 2. C) 360. D) 1. Show Answer Correct Answer: A) 0.5. 48. It is given that cos $\beta$ $\frac{3}{5}$ $\beta$ $\beta$ $\left(-\beta\right)$ A) $\frac{29}{15}$. B) $\frac{9}{20}$. C) $\frac{27}{20}$. D) $\frac{3}{20}$. Show Answer Correct Answer: C) $\frac{27}{20}$. 49. Write an equation for the cosine function with an amplitude of 3 and vertical shift up 5. A) Y = 5+3cos(x). B) Y =-5 +3cos(x). C) Y = 3+5cos(x). D) Y = 3-5cos(x). Show Answer Correct Answer: A) Y = 5+3cos(x). 50. $\cot\left(x-y\right)=$ A) $\frac{\left(\cot x\cot y+1\right)}{\cot x-\cot y}$. B) $\frac{\left(\cot x\cot y-1\right)}{\cot y+\cot x}$. C) $\frac{\left(\cot x\cot y+1\right)}{\cot y-\cot x}$. D) $\frac{\left(\cot x+\cot y\right)}{1-\cot x\cot y}$. Show Answer Correct Answer: C) $\frac{\left(\cot x\cot y+1\right)}{\cot y-\cot x}$. 51. Given $f\left(x\right)=\cos^5\left(2x^3\right)$ $f'\left(x\right)$ A) $-30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. B) $-5x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. C) $5x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. D) $30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. Show Answer Correct Answer: A) $-30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. 52. What does the prefix 'Co' in cotangent and cosecant stand for? A) None of the above. B) Connected. C) Cooperative. D) Complementary. Show Answer Correct Answer: D) Complementary. 53. What is the frequency of a function with period 2? A) 1. B) $\pi$. C) 2. D) $2\pi$. Show Answer Correct Answer: B) $\pi$. 54. Given the Csc(x) = 1, then the Sin(x) =? A) -1. B) 1. C) 0. D) Undefined. Show Answer Correct Answer: B) 1. 55. $\csc\left(\pi\right)=$ A) -2. B) $-\frac{2}{\sqrt{2}}$. C) Undefined. D) 0. Show Answer Correct Answer: C) Undefined. 56. What is the value of $\tan\left(\frac{4\pi}{3}\right)$ A) $\frac{\sqrt{3}}{3}$. B) $-\sqrt{3}$. C) $\sqrt{3}$. D) $-2$. Show Answer Correct Answer: C) $\sqrt{3}$. 57. Which of the following espressions are equivalent?I. $\frac{\cos^2\theta}{\cot^2\theta}$ $\sin^2\theta$ $1-\cos^2\theta$ A) I and II only. B) I and III only. C) II and III only. D) I, II, and III. Show Answer Correct Answer: D) I, II, and III. 58. Which of the following statement/s is/are TRUE?I. Secant function is an even function and its graph is symmetric with respect to the y-axis.II. Secant function neither has a maximum or a minimum value limit. A) Both statements are true. B) The first statement is true; the second statement is false. C) The first statement is false; the second statement is true. D) Both statements are false. Show Answer Correct Answer: A) Both statements are true. 59. Result-$\lim_{x\rightarrow0}\\frac{\tan x}{x}=$ A) X. B) 0. C) 2. D) 1. Show Answer Correct Answer: D) 1. 60. $\sin\\frac{7\pi}{6}$ A) $\frac{\sqrt{3}}{2}$. B) $-\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. ← PreviousNext →Related QuizzesScience QuizzesClass 11 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books