This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 3 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the area of a triangle is 35 sq units with vertices (2, -6), (5, 4) and (k, 4). Then k is A) 12. B) 12, -2. C) -12, -2. D) -2. Show Answer Correct Answer: B) 12, -2. 2. What is the result of sin(C + D)? A) 2 sin(C + D). B) Sin C cos D+cosC sinD. C) Sin C + sin D. D) 2 sin C sin D. Show Answer Correct Answer: B) Sin C cos D+cosC sinD. 3. Given $\sin(\theta) = \frac{3}{5}$ $\cos(\theta)$ A) $\frac{4}{3}$. B) $\frac{3}{4}$. C) $\frac{4}{5}$. D) $\frac{5}{3}$. Show Answer Correct Answer: C) $\frac{4}{5}$. 4. Convert the angle $\theta=\frac{17\pi}{18}radians$ $\theta=$ A) $170$. B) 170 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $170$. 5. A matrix A is both symmetric and skew symmetric if A is A) Null matrix. B) Unit matrix. C) Row matrix. D) None of these. Show Answer Correct Answer: A) Null matrix. 6. $\tan^{-1}\left(\tan\\frac{9\pi}{8}\right)=$ A) $-\frac{\pi}{8}$. B) $-\frac{9\pi}{8}$. C) $\frac{9\pi}{8}$. D) $\frac{\pi}{8}$. Show Answer Correct Answer: D) $\frac{\pi}{8}$. 7. $\sin^{-1}\left(-\frac{1}{2}\right)$ A) $\frac{11\pi}{6}$. B) $-\frac{\pi}{6}$. C) $\frac{7\pi}{6}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: B) $-\frac{\pi}{6}$. 8. Which trigonometric function is defined as opp/adj in a right triangle? A) Tangent. B) Cosine. C) Sine. D) Cotangent. Show Answer Correct Answer: A) Tangent. 9. Evaluate:$\sin\left(-\frac{13\pi}{6}\right)$ A) $\frac{1}{2}$. B) $-\frac{\sqrt[]{3}}{2}$. C) $\frac{\sqrt[]{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. 10. (3, -3) is a point on the terminal side of an angle. Find the exact value of $\sin\theta$ A) $\frac{\sqrt{2}}{2}$. B) $-\frac{\sqrt{2}}{2}$. C) -1. D) $-\sqrt{2}$. Show Answer Correct Answer: B) $-\frac{\sqrt{2}}{2}$. 11. $\frac{\text{d}}{\text{d}y}\left(3\tan^4x\right)$ A) $12\sec^3x$. B) $12\sec^2x$. C) $12\tan^3x\sec x$. D) $12\tan^3x\sec^2x$. E) $12\sec^6x$. Show Answer Correct Answer: D) $12\tan^3x\sec^2x$. 12. What is the phase shift of $y=\cos\left(x-\frac{3\pi}{2}\right)$ A) Up $\frac{3\pi}{2}$. B) Right $\frac{3\pi}{2}$. C) Left $\frac{3\pi}{2}$. D) Down $\frac{3\pi}{2}$. Show Answer Correct Answer: B) Right $\frac{3\pi}{2}$. 13. Classify a triangle with side lengths 20, 25, and 15. A) Acute. B) Obtuse. C) Equilateral. D) Right. Show Answer Correct Answer: D) Right. 14. Find the phase shift. $y=\cos\left(x-\frac{\pi}{2}\right)$ A) $left\\frac{\pi}{2}$. B) $down\\frac{\pi}{2}$. C) $right\\frac{\pi}{2}$. D) $up\\frac{\pi}{2}$. Show Answer Correct Answer: C) $right\\frac{\pi}{2}$. 15. The value of sin (2 tan$^{-1}$ (.75)) is equal to A) Sin 1.5. B) .96. C) 1.5. D) .75. Show Answer Correct Answer: B) .96. 16. Find the period $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) 1. B) $\frac{1}{2}$. C) -1. D) 4 $\pi$. Show Answer Correct Answer: D) 4 $\pi$. 17. What is the period of $y=a\sin\left(b\theta+c\right)+d$ A) $\frac{\pi}{\left|b\right|}$. B) $\frac{2\pi}{b}$. C) $\frac{2\pi}{\left|b\right|}$. D) $\frac{\pi}{b}$. Show Answer Correct Answer: C) $\frac{2\pi}{\left|b\right|}$. 18. Find arcsin $\frac{1}{2}$ A) 30$^\circ$. B) 0$^\circ$. C) 45$^\circ$. D) 60$^\circ$. E) 90$^\circ$. Show Answer Correct Answer: A) 30$^\circ$. 19. Point Q(-5, -12) is a point on the terminal side of angle $\theta$ $\theta$ A) $-\frac{13}{5}$. B) $-\frac{12}{13}$. C) $-\frac{5}{13}$. D) $\frac{5}{13}$. Show Answer Correct Answer: C) $-\frac{5}{13}$. 20. $\cot[\tan^{-1}(b)+\cot^{-1}(b)]$ A) 0. B) 2. C) 1. D) -2. Show Answer Correct Answer: A) 0. 21. What is the range of the function $y=-7\cos(3x+\frac{2\pi}{3})-2$ A) $\left(-\infty, -9\right]\cup\left[5, \infty\right)$. B) $\left[-9, 5\right]$. C) $\left[-7, 7\right]$. D) $\left(-\infty, \infty\right)$. Show Answer Correct Answer: B) $\left[-9, 5\right]$. 22. What is the period of the function $y=2\sin\left(\frac{2}{3}x\right)-1$ A) $\frac{2}{3}\pi$. B) $3\pi$. C) 2. D) $\frac{2}{3}$. Show Answer Correct Answer: B) $3\pi$. 23. Find the phase shift. $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) Left $\frac{\pi}{2}$. B) Right $\frac{\pi}{2}$. C) Down 1. D) Up 1. Show Answer Correct Answer: B) Right $\frac{\pi}{2}$. 24. What is the definition for tangent (tan)? A) X/y. B) Y/x. C) R/y. D) R/x. Show Answer Correct Answer: B) Y/x. 25. $\tan\left(x\right)=$ A) $\frac{\sin x}{\cos x}$. B) $\frac{1}{\cos x}$. C) $x^2+y^2$. D) $\frac{\cos x}{\sin x}$. Show Answer Correct Answer: A) $\frac{\sin x}{\cos x}$. 26. It is given that cos $\alpha$ $\frac{3}{5}$ $\alpha$ $\left(\frac{\pi}{2}-\alpha\right)$ A) $\frac{3}{5}$. B) $-\frac{4}{5}$. C) $\frac{4}{5}$. D) $-\frac{3}{5}$. Show Answer Correct Answer: A) $\frac{3}{5}$. 27. $11\\frac{\pi}{6}$ A) 270$^\circ$. B) 330$^\circ$. C) 315$^\circ$. D) 300$^\circ$. Show Answer Correct Answer: B) 330$^\circ$. 28. Find the exact value. $\cos\left[\sin^{-1}\left(-\frac{3}{5}\right)\right]$ A) $-\frac{4}{5}$. B) $\frac{4}{5}$. C) $-\frac{3}{5}$. D) $\frac{5}{4}$. Show Answer Correct Answer: B) $\frac{4}{5}$. 29. What is the period of the graph of $f\left(x\right)=\tan\left(\theta+\frac{2\pi}{3}\right)+2$ A) $\pi$. B) $2\pi$. C) $\frac{2\pi}{3}$. D) $2$. Show Answer Correct Answer: A) $\pi$. 30. Find the value of cos x if tan x = 15/8. A) 8/15. B) 15/17. C) 17/8. D) 8/17. Show Answer Correct Answer: D) 8/17. 31. Evaluate:$\sin\\frac{7\pi}{6}$ A) $\frac{2}{\sqrt{3}}$. B) $-\frac{\sqrt{3}}{2}$. C) $-\frac{1}{\sqrt{2}}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. 32. What quadrant are sin and csc positive? A) I. B) I and II. C) I and III. D) I and IV. Show Answer Correct Answer: B) I and II. 33. What is the cosine of $\pi$ A) -1. B) $\frac{1}{2}$. C) 0. D) 1. Show Answer Correct Answer: A) -1. 34. The ..... represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height. A) Extreme Values. B) Amplitude. C) Frequency. D) Period. Show Answer Correct Answer: B) Amplitude. 35. What is the reference angle for 150 degrees? A) 180. B) 60. C) 30. D) 150. Show Answer Correct Answer: C) 30. 36. Convierta 237$^\circ$ a radianes A) $\frac{5}{12}\pi\\rad$. B) $\frac{79}{30}\pi\\rad$. C) $\frac{62}{60}\pi\\rad$. D) $\frac{79}{60}\pi\\rad$. Show Answer Correct Answer: D) $\frac{79}{60}\pi\\rad$. 37. What is the formula for cos(A + B)? A) Cos A + cos B. B) Cos A cos B-sin A sin B. C) 2 cos A cos B. D) Cos A + sin B. Show Answer Correct Answer: B) Cos A cos B-sin A sin B. 38. Find the value of sin $\\frac{31\pi}{3}$ A) 0.5. B) $\frac{\sqrt{3}}{2}$. C) $\frac{1}{\sqrt{2}}$. D) None. Show Answer Correct Answer: B) $\frac{\sqrt{3}}{2}$. 39. What is a possible x value of y = cot(x) when y = 0? A) $\frac{\pi}{4}$. B) 0. C) -$\frac{\pi}{2}$. D) $\pi$. Show Answer Correct Answer: C) -$\frac{\pi}{2}$. 40. Point P(7, -24) is a point on the terminal side of angle $\theta$ $\theta$ A) $-\frac{24}{7}$. B) $-\frac{24}{25}$. C) $\frac{24}{25}$. D) $\frac{7}{25}$. Show Answer Correct Answer: B) $-\frac{24}{25}$. 41. Trigonometry is about the ratio of the ..... A) Triangles. B) Right angled triangles. C) Sides. D) Angles. Show Answer Correct Answer: C) Sides. 42. Classify a triangle with side lengths 12, 14, and 20. A) Obtuse. B) Right. C) Isosceles. D) Acute. Show Answer Correct Answer: A) Obtuse. 43. What is the period of y = 3sin(x/4-30) + 2in degrees? A) 1440. B) 360. C) 720. D) 180. Show Answer Correct Answer: A) 1440. 44. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\tan\left(4x\right)$ A) $4\\sec^2\left(4x\right)$. B) $2\\sec^2\left(4x\right)$. C) $8\\sec^2\left(4x\right)$. D) $2\\sec^2x$. Show Answer Correct Answer: C) $8\\sec^2\left(4x\right)$. 45. How do sine, cosine, and tangent tell us about an angle? A) They describe the angle measure in terms of the ratio of its corresponding sides. B) They tell us its measure in relationship to the other angles in the triangle. C) We can only use them if we know all side lengths. D) They describe the angle measure in terms of the product of its corresponding sides. Show Answer Correct Answer: A) They describe the angle measure in terms of the ratio of its corresponding sides. 46. Trigonometry is used for A) Measuring a square. B) Measuring the diagnol of quadriletral. C) Measuring sides of a triangle(right angled). D) Measuring the diameter and radiusof circle. Show Answer Correct Answer: C) Measuring sides of a triangle(right angled). 47. $3\left(\csc^2x-\cot^2x\right)$ A) 3. B) 1. C) 0. D) 2. Show Answer Correct Answer: A) 3. 48. If a point on the terminal side of an angle in standard position is $(-5, 12)$ $\sin(\theta)$ A) $-\frac{12}{13}$. B) $\frac{5}{13}$. C) $-\frac{5}{13}$. D) $\frac{12}{13}$. Show Answer Correct Answer: D) $\frac{12}{13}$. 49. Sine and cosine are periodic functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 50. If f(x) = g(u) and u = u(x) then A) F '(x) = g '(u). B) F '(x) = g '(u) . u '(x). C) F'(x) = u '(x). D) None of the above. Show Answer Correct Answer: B) F '(x) = g '(u) . u '(x). 51. What are the 3 basic trig functions? A) Sine, cosine, and cotangent. B) Sine, cotangent, and cosecant. C) Sine, cosine, and tangent. D) Cosecant, cosine, and cotangent. Show Answer Correct Answer: C) Sine, cosine, and tangent. 52. Find $\frac{dy}{dx}$ $y=\tan^4\left(2x+1\right)$ A) $4\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. B) $2\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. C) $8\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. D) $8\tan^4\left(2x+1\right)\sec^2\left(2x+1\right)$. Show Answer Correct Answer: C) $8\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. 53. According to the Pythagorean theorem, what does the sum of the squares of sine and cosine of Theta equal? A) 2. B) Theta. C) 0. D) 1. Show Answer Correct Answer: D) 1. 54. The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use pi = 3.14). A) 6.28. B) 5.28. C) 9.28. D) None. Show Answer Correct Answer: A) 6.28. 55. WHICH OF THE FOLLOWING APPLIES THE BEST USE OF TRIGONOMETRY? A) FISHERIES AND AQUATICS. B) FOOD SERVICES AND PHARMACIUTICALS. C) ENGINEERING AND ARHITECTURE. D) NETWORKING AND VIDEO GAMING. Show Answer Correct Answer: C) ENGINEERING AND ARHITECTURE. 56. What type of symmetry does an even function have? A) Reflection. B) Rotation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Reflection. 57. What operation allows us to verify if functions are inverses? A) Adding. B) Composing. C) Dividing. D) Multiplying. Show Answer Correct Answer: B) Composing. 58. $Evaluate\\sin\left(270-\theta\right)$ A) $\sin\theta$. B) $-\cos\\theta$. C) $\cos\theta$. D) $-\sin\theta$. Show Answer Correct Answer: B) $-\cos\\theta$. 59. Which of the following statements are true?I. In 2$^{nd}$ quadrant, cotx is decreasing.II. In 1$^{st}$ quadrant, cosx is increasing. III. In 2$^{nd}$ quadrant, sinx is decreasing. A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: D) I and III. 60. Which trigonometric graphs have a range of [-1, 1]? A) Sine only. B) Secant and cosecant. C) Sine and cosine. D) Tangent and cotangent. E) Cosine only. Show Answer Correct Answer: C) Sine and cosine. ← 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 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books