This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following statements are true?I. tan 135 =-tan 45II. tan 130 < tan 120III. cot145 > cot 165 A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: D) I and III. 2. The vertical asymptote of a trigonometric function ..... A) Acts as a dividing line for the function's range values. B) Is the value or values a trigonometric function approaches but never reaches. C) Is always at y = 0. D) Is always at x = 0. E) None of these. Show Answer Correct Answer: B) Is the value or values a trigonometric function approaches but never reaches. 3. If you are given the hypotenuse and an adjacent leg, which trigonometric function should you use? A) Cosine. B) Tangent. C) Cotangent. D) Sine. Show Answer Correct Answer: A) Cosine. 4. What is the sine of $\frac{8\pi}{3}$ A) $\frac{\sqrt{3}}{2}$. B) -$\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) -$\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{2}$. 5. **What is the radian equivalent of-460 degrees? A) $-\frac{23\pi}{9}$. B) $\frac{9\pi}{23}$. C) $-\frac{9\pi}{23}$. D) $\frac{23\pi}{9}$. Show Answer Correct Answer: A) $-\frac{23\pi}{9}$. 6. What is the 4 word transformation for the $\pi$ A) Horizontal shift right Pi. B) Horizontal shift left Pi. C) Vertical shift down Pi. D) Vertical shift up Pi. Show Answer Correct Answer: B) Horizontal shift left Pi. 7. Which one is one of the easy ways to learn trigonometric ratios? A) Soh Ceh Toa. B) Sah Coh Toa. C) Soh Cah Toa. D) Soh Cah Tao. Show Answer Correct Answer: C) Soh Cah Toa. 8. $\tan\\frac{3}{2}\pi$ A) 1. B) 0. C) -1. D) Undefined. Show Answer Correct Answer: D) Undefined. 9. Find $\frac{dy}{dx}$ $y=\ln\left(\frac{2x+1}{1-2x}\right)$ A) $\frac{2}{2x+1}-\frac{2}{1-2x}$. B) $\frac{2}{2x+1}+\frac{2}{1+2x}$. C) $\frac{2}{2x-1}+\frac{2}{1-2x}$. D) $\frac{2}{2x+1}+\frac{2}{1-2x}$. Show Answer Correct Answer: D) $\frac{2}{2x+1}+\frac{2}{1-2x}$. 10. What is the value of $\cos\left(\frac{2\pi}{3}\right)$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{\sqrt{2}}{2}$. C) $\frac{2\sqrt{3}}{3}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. 11. Find the vertical shift. $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) Right $\frac{\pi}{2}$. B) Down 1. C) Left $\frac{\pi}{2}$. D) Up 1. Show Answer Correct Answer: B) Down 1. 12. What is the period of the basic secant function? A) $\frac{\pi}{4}$. B) $\pi$. C) $\frac{\pi}{2}$. D) $2\pi$. Show Answer Correct Answer: D) $2\pi$. 13. $\frac{\text{d}}{\text{d}y}\left(\tan\left(\frac{x^3}{2}+\frac{\pi}{6}\right)\right)$ A) $\frac{3}{2}x^2\sec\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. B) $\frac{3}{2}x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. C) $x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. D) $2x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. E) $2x^2\sec\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. Show Answer Correct Answer: B) $\frac{3}{2}x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. 14. If sin x = cos x, what is the value of x? A) 60$^\circ$. B) 30$^\circ$. C) 45$^\circ$. D) 90$^\circ$. Show Answer Correct Answer: C) 45$^\circ$. 15. Solve the equation:$4\tan^{-1}\left(x\right)=-\pi$ A) $-1$. B) $\sqrt{3}$. C) $\frac{\sqrt{3}}{3}$. D) $1$. Show Answer Correct Answer: A) $-1$. 16. If sin x = 8/17, determine the value of cos x. A) 15/17. B) 17/15. C) 8/15. D) 15/8. Show Answer Correct Answer: A) 15/17. 17. Pythagoras' theorem states that A) Hyp$^{2}$ = side + side. B) Hyp$^{2 }$= side$^{2 }$+ side$^{2}$. C) Hyp = side + side. D) Hyp = side$^{2}$ + side$^{2}$. Show Answer Correct Answer: B) Hyp$^{2 }$= side$^{2 }$+ side$^{2}$. 18. Find the magnitude of the vector <-2, 1>. A) 2.236. B) 2.646. C) 1. D) 5. Show Answer Correct Answer: A) 2.236. 19. What is the reciprocal of the sine function? A) Cosine. B) Cosecant. C) Cotangent. D) Secant. Show Answer Correct Answer: B) Cosecant. 20. What is the phase shift (C value) if the first maximum occurs at x = 90? A) 180. B) 0. C) 90. D) -90. Show Answer Correct Answer: C) 90. 21. The height of a rider on a ferris wheel in motion is modeled by the function $h\left(t\right)=30\sin\left(t\right)+35$ A) 61 meters. B) 65 meters. C) 63 meters. D) 70 meters. Show Answer Correct Answer: C) 63 meters. 22. The Sine ratio is found by dividing the A) Hypotenuse by opposite. B) Hypotenuse by adjacent. C) Opposite by hypotenuse. D) Adjacent by hypotenuse. Show Answer Correct Answer: C) Opposite by hypotenuse. 23. Value of tan 15 is A) $\sqrt{3}$. B) 2-$\sqrt{3}$. C) $\sqrt{3}$. D) None. Show Answer Correct Answer: B) 2-$\sqrt{3}$. 24. Find a coterminal angle to-27$^\circ$. A) -393$^\circ$. B) 323$^\circ$. C) -387$^\circ$. D) 27$^\circ$. Show Answer Correct Answer: C) -387$^\circ$. 25. What happens to the tangent of Theta when Theta equals pi over 2? A) It equals-1. B) It is undefined. C) It equals 0. D) It equals 1. Show Answer Correct Answer: B) It is undefined. 26. Convierta $\frac{2}{3}\pi$ A) 110$^\circ$. B) 120$^\circ$. C) 122$^\circ$. D) 125$^\circ$. Show Answer Correct Answer: B) 120$^\circ$. 27. If sin x = cos y, what must be true about x and y? A) X + y = 90$^\circ$. B) X = y. C) X = 2y. D) X + y = 180$^\circ$. Show Answer Correct Answer: A) X + y = 90$^\circ$. 28. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5. A) Y = 5cos(x-pi) + 3. B) Y = 3cos(x-pi) + 5. C) Y = 3cos(2x-pi) + 5. D) Y = 5cos(2x-pi) + 3. Show Answer Correct Answer: B) Y = 3cos(x-pi) + 5. 29. What is the period of the basic tangent function? A) $\frac{\pi}{4}$. B) $2\pi$. C) $\pi$. D) $\frac{\pi}{2}$. Show Answer Correct Answer: C) $\pi$. 30. Find the Principal Value of $\sin^{-1}\left(\sin\frac{2\pi}{3}\right)$ A) $-\pi$. B) $\frac{2\pi}{3}$. C) $-\frac{\pi}{3}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: D) $\frac{\pi}{3}$. 31. Find a coterminal angle to-180 degrees. A) 180. B) 90. C) 360. D) 270. Show Answer Correct Answer: A) 180. 32. What is the amplitude and vertical shift of the function y =-3 sin(x) + 2? A) Amplitude 3Vertical shift up 2. B) Amplitude 2Vertical shift down 3. C) Amplitude 3Vertical shift down 2. D) Amplitude-3Vertical shift down 2. Show Answer Correct Answer: A) Amplitude 3Vertical shift up 2. 33. $\sin\\frac{4\pi}{3}$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{1}{2}$. C) $-\frac{\sqrt{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{\sqrt{3}}{2}$. 34. If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. IV, $\frac{x}{y}$ A) Positive. B) Negative. C) All the above. D) None of the above. Show Answer Correct Answer: B) Negative. 35. $f\left(x\right)=-\csc\left(x+\frac{\pi}{2}\right)+4$ A) $2\pi$. B) $\frac{\pi}{2}$. C) -1. D) 4. Show Answer Correct Answer: A) $2\pi$. 36. Evaluate:$\tan\frac{5\pi}{3}$ A) $-\frac{1}{\sqrt{3}}$. B) $-\frac{\sqrt{3}}{2}$. C) $-\sqrt{3}$. D) $-\frac{2}{\sqrt{3}}$. Show Answer Correct Answer: C) $-\sqrt{3}$. 37. Given that $\theta$ $\cot\theta>0, \\sec\theta<0$ A) Quadrant III. B) Quadrant II. C) Quadrant I. D) Quadrant IV. Show Answer Correct Answer: A) Quadrant III. 38. What is another name for a phase shift? A) Vertical Shift/Translation. B) Horizontal Shift/Translation. C) Horizontal Dilation. D) Vertical Dilation. Show Answer Correct Answer: B) Horizontal Shift/Translation. 39. Which of the following trig functions has the same asymptote equation as the TANGENT function A) Secant. B) Cosecant. C) Sine. D) Cosine. Show Answer Correct Answer: A) Secant. 40. The equation of a circle is given by $x^2+y^2-6x+9y\-18=0$ A) Center (-3, 4.5) radius 47.25. B) Center (3, -4.5) radius 6.9. C) Center (-3, 4.5) radius 6.9. D) Center (3, -4.5) radius 7. Show Answer Correct Answer: B) Center (3, -4.5) radius 6.9. 41. Find the exact value of $\tan\left(\sin^{-1}\left(\frac{1}{2}\right)\right)$ A) $-\frac{\sqrt{3}}{3}$. B) $\frac{\sqrt{3}}{3}$. C) $\sqrt[]{3}$. D) $-\sqrt{3}$. Show Answer Correct Answer: B) $\frac{\sqrt{3}}{3}$. 42. Find the radius of the circle in which a central angle of 60$^\circ$ intercepts an arc of length 37.4 cm (use $\pi==\frac{22}{7}$ A) 40.7 cm. B) 30.7 cm. C) 35.7 cm. D) 31.7 cm. Show Answer Correct Answer: C) 35.7 cm. 43. What is the period of $f\left(x\right)=2\cos\left(4x+8\right)-5$ A) $\frac{2\pi}{3}$. B) $6\pi$. C) $\frac{\pi}{2}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: C) $\frac{\pi}{2}$. 44. This is the challenge question!If the $\tan\theta=\frac{5}{12}$ $\cos\theta$ A) $\frac{5\sqrt[]{13}}{13}$. B) $\frac{12}{13}$. C) $\frac{5}{13}$. D) $\frac{\sqrt{5}}{12}$. Show Answer Correct Answer: B) $\frac{12}{13}$. 45. Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. Assume Raya starts at the right-hand side of the Ferris wheel.Find Raya's height after the wheel rotates $310^{\circ}$ A) About-38 meters. B) About 43 meters. C) About 27 meters. D) About 108 meters. Show Answer Correct Answer: C) About 27 meters. 46. Give the amplitude for cosine. A) 1. B) 0. C) -1. D) None. Show Answer Correct Answer: A) 1. 47. Give the amplitude for tangent. A) 1. B) 0. C) -1. D) None. Show Answer Correct Answer: D) None. 48. The ..... measures the distance from the midline to the maximum or minimum of the function. A) Vertical shift. B) Period. C) Horizontal shift. D) Amplitude. Show Answer Correct Answer: D) Amplitude. 49. What is the cosine of $\frac{11\pi}{6}$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{1}{2}$. C) -$\frac{\sqrt{3}}{2}$. D) -$\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{2}$. 50. The coordinates of the point at $\theta=\frac{\pi}{6}$ A) $\left(\frac{1}{2}, \\frac{\sqrt[]{3}}{2}\right)$. B) $\left(-\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. C) $\left(\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. D) $\left(-\frac{1}{2}, \\frac{\sqrt[]{3}}{2}\right)$. Show Answer Correct Answer: C) $\left(\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. 51. How many radians are there in half a circle? A) 360$^{o}$. B) Pi. C) 180$^{o}$. D) 2 pi. Show Answer Correct Answer: B) Pi. 52. Which of the following phrases declares the reciprocal of sine? A) Tangent. B) Cotangent. C) Cosecant. D) Secant. Show Answer Correct Answer: C) Cosecant. 53. Does the graph of sine have asymptotes? A) No. B) Yes. C) All the above. D) None of the above. Show Answer Correct Answer: A) No. 54. If $\sin x=\frac{b}{a}$ $x=\sin^{-1}\left(\frac{b}{a}\right)$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 55. $\frac{d}{dx}\left(x\sin x\right)=$ A) $x\sin x-\cos x$. B) $x\cos x+\sin x$. C) $\cos x$. D) $x\sin x+\cos x$. Show Answer Correct Answer: B) $x\cos x+\sin x$. 56. Find the trig value rounded to the nearest ten-thousandth.Tan(42$^\circ$) A) 42. B) .9004. C) 88.6361. D) .8123. Show Answer Correct Answer: B) .9004. 57. Principal domain of tan(x) is A) $\left[0, \pi\right]$. B) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. C) $\left[0, 2\pi\right]$. D) $\left[0, \frac{\pi}{2}\right]$. Show Answer Correct Answer: B) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. 58. Find g'(x) if g(x) = sin$^{1/2}$(4x) A) 1/2sin$^{-1/2}$(4x)cos(4x). B) 4cos$^{1/2}$(4x). C) 2cos$^{-1/2}$(4x). D) 2sin$^{-1/2}$(4x)cos(4x). Show Answer Correct Answer: D) 2sin$^{-1/2}$(4x)cos(4x). 59. What is the sign of tangent function in the 3. Quadrant? A) Positive. B) Negative. C) Both positive and negative. D) No sing. Show Answer Correct Answer: A) Positive. 60. What is 240 degrees in radians? A) $\frac{2\pi}{3}$. B) $\frac{\pi}{3}$. C) $\frac{5\pi}{3}$. D) $\frac{4\pi}{3}$. Show Answer Correct Answer: D) $\frac{4\pi}{3}$. ← 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books