This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which function has absolute values that are always greater than or equal to one? A) Tangent. B) Secant. C) Sine. D) Cosine. Show Answer Correct Answer: B) Secant. 2. Find the exact value of the expression:$\frac{4}{3}\left[\sin255+\sin15\right]$ A) $\frac{2\sqrt{2}}{3}$. B) $\frac{-2\sqrt{3}}{2}$. C) $\frac{2}{3}$. D) $-\frac{2\sqrt{2}}{3}$. Show Answer Correct Answer: D) $-\frac{2\sqrt{2}}{3}$. 3. What happens on Autumn Equinox? A) The number of darkness hours is greater than daylight. B) The number of hours of darkness is equal to daylight hours. C) The number of daylight hours is greater than darkness hours. D) None of the above. Show Answer Correct Answer: B) The number of hours of darkness is equal to daylight hours. 4. $\frac{\text{d}}{\text{d}y}\left(\sqrt{3\sin x+4\cos x}\right)$ A) $\frac{3}{2}\left(3\cos x+4\sin x\right)\sqrt{\left(3\sin x+4\cos x\right)^3}$. B) $-\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. C) $\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. D) $\frac{3}{2}\left(3\cos x-4\sin x\right)\sqrt{\left(3\sin x+4\cos x\right)^3}$. E) $\frac{3\cos x+4\sin x}{2\sqrt{3\sin x+4\cos x}}$. Show Answer Correct Answer: C) $\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. 5. 6) (secx-1)(secx+1) A) Sinx. B) Cosx. C) Co$^{}$t$^{2}$x. D) Tan$^{2}$x. Show Answer Correct Answer: D) Tan$^{2}$x. 6. What quadrant are cos and sec positive? A) I. B) I and II. C) I and III. D) I and IV. Show Answer Correct Answer: D) I and IV. 7. Which statement is NOT CORRECT about tangent? A) Opposite side over hypotenuse. B) Opposite side over adjacent side. C) Tangent is the reciprocal of cotangent. D) All of the above. Show Answer Correct Answer: A) Opposite side over hypotenuse. 8. Which describes the midline of the function? $y=-3\sin\left(2(x-\frac{\pi}{2})\right)+7$ A) Y = 7. B) X = 1. C) Y = 4. D) X = 7. Show Answer Correct Answer: A) Y = 7. 9. $\omega\left(\frac{5\pi}{4}\right)$ A) $\left(\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. B) $\left(-\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. C) $\left(-\frac{\sqrt[]{2}}{2}, \\frac{\sqrt[]{2}}{2}\right)$. D) $\left(\frac{\sqrt[]{2}}{2}, \\frac{\sqrt[]{2}}{2}\right)$. Show Answer Correct Answer: B) $\left(-\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. 10. $\frac{\text{d}}{\text{d}y}\left(12\tan x\cos\left(2x\right)\right)$ A) $12\left(\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. B) $-12\left(\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. C) $12\left(\cos\left(2x\right)\sec^2x-2\tan x\sin\left(2x\right)\right)$. D) $12\left(\cos\left(2x\right)\sec x-2\tan x\sin\left(2x\right)\right)$. E) $12\left(-\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. Show Answer Correct Answer: C) $12\left(\cos\left(2x\right)\sec^2x-2\tan x\sin\left(2x\right)\right)$. 11. What is the sum of angles formula for $\sin(a + b)$ A) $\sin(a + b) = \sin(a) \sin(b)-\cos(a)\cos(b)$. B) $\sin(a + b) = \sin(a)\cos(b) +\cos(a) \sin(b)$. C) $\sin(a + b) = \sin(a)\cos(b)-\cos(a) \sin(b)$. D) $\sin(a + b) =\cos(a)\cos(b)-\sin(a) \sin(b)$. Show Answer Correct Answer: B) $\sin(a + b) = \sin(a)\cos(b) +\cos(a) \sin(b)$. 12. What is the definition for secant (sec)? A) R/y. B) R/x. C) Y/x. D) Y/r. Show Answer Correct Answer: B) R/x. 13. What is the relationship between cosine of Theta, and sine of pi over 2 minus Theta?(pi over 2=90degrees, in other words the complement) A) None of the above. B) They are equal. C) They are opposites. D) They are reciprocals. Show Answer Correct Answer: B) They are equal. 14. What are the signs of cos 91$^{0}$, tan 100$^{0 }$ and sin 150$^{0}$ respectively? A) -, +, -. B) +, -, +. C) -, -, -. D) -, -, +. E) +, +, -. Show Answer Correct Answer: D) -, -, +. 15. What is the corresponding reference angle for 249$^\circ$? A) 69$^\circ$. B) 21$^\circ$. C) 111$^\circ$. D) 159$^\circ$. Show Answer Correct Answer: A) 69$^\circ$. 16. Sinx is an ..... function A) Odd. B) Even. C) None. D) None of the above. Show Answer Correct Answer: A) Odd. 17. A right triangle is formed by A) A hypotenuse and two legs. B) Two hypotenuses and a leg. C) All the above. D) None of the above. Show Answer Correct Answer: A) A hypotenuse and two legs. 18. What is the definition of sine in a right triangle? A) Opp/hyp. B) Adj/hyp. C) Hyp/opp. D) Hyp/adj. Show Answer Correct Answer: A) Opp/hyp. 19. Let f(x) = 3 tan(4t)-5. What is the vertical shift of f(x)? A) -5. B) 5. C) 4. D) 3. Show Answer Correct Answer: A) -5. 20. What is the amplitude in the following sinusoidal function? $h(x)=-3\sin(2x-\pi)+2$ A) $3$. B) 3 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $3$. 21. Give the y-intercept of sine. A) 0. B) 1. C) -1. D) None. Show Answer Correct Answer: A) 0. 22. Which of the following statements are false?I. sin 15$^{0}$ = sin 75$^{0}$II. tan 20$^{0}$ = cot 70$^{0}$ III. cos 10$^{0}$ = sin 80$^{0}$ A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: A) I. 23. Evaluate:$\cos\left(\sin^{-1}\left(\frac{-\sqrt{3}}{2}\right)\right)$ A) $\frac{-\pi}{6}$. B) $\frac{-\pi}{3}$. C) $\frac{1}{2}$. D) $0$. Show Answer Correct Answer: C) $\frac{1}{2}$. 24. WHICH OF THE FOLLOWING IS NOT A MNEMONICS OF THE SIX TRIGONOMETRIC FUNCTION? A) TOA. B) CAH. C) SOH. D) HSA. Show Answer Correct Answer: D) HSA. 25. Consider a Ferris wheel, moving in constant motion. At its lowest height of 2 metre above the ground, it loads passengers. It carries passengers to a height of at most 14 metres. How high is the hub of Ferris wheel off the ground (hint:the axis of the curve)? A) 14m. B) 8m. C) 12m. D) 2m. Show Answer Correct Answer: B) 8m. 26. A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled $x$ $\qquad\tau(x)=\frac{2}{1000}\sin\left(\frac{2\pi(x+0.2)}{4}\right)$ $y=$ A) $0$. B) 0 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $0$. 27. $\left(3A\right)\\lim_{x\rightarrow0}\\frac{4x}{\tan5x}$ A) $\frac{4}{5}$. B) $\frac{5}{4}$. C) 5. D) 4. Show Answer Correct Answer: A) $\frac{4}{5}$. 28. Find the value of $\sin^{-1}\left(\cos\pi\right)$ A) $-\frac{\pi}{2}$. B) 0. C) $\frac{\pi}{2}$. D) $\pi$. Show Answer Correct Answer: A) $-\frac{\pi}{2}$. 29. What is the ratio of the hypotenuse to the side adjacent to a given angle in a righttriangle? A) Cotangent. B) Tangent. C) Cosecant. D) Secant. Show Answer Correct Answer: D) Secant. 30. Evaluate:$\cos\\frac{3\pi}{4}$ A) $\frac{2}{\sqrt{3}}$. B) $\sqrt{2}$. C) $-\frac{1}{\sqrt{3}}$. D) $-\frac{1}{\sqrt{2}}$. Show Answer Correct Answer: D) $-\frac{1}{\sqrt{2}}$. 31. The ..... measure how many periods occur in 1 unit. A) Unit Cirlce. B) Amplitude. C) Vertical Dilation. D) Frequency. Show Answer Correct Answer: D) Frequency. 32. A pythagorean triple is a set of 3 integers that satisfy a$^{2}$ + b$^{2}$ = c$^{2}$. The primary set of pythagorean triples is 3, 4, 5. Determine if the following set of numbers are Pythagorean Triples.15, 20, 25 A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 33. Find the csc $\left(0\pi\right)$ A) $\sqrt[]{2}$. B) $\frac{2\sqrt[]{3}}{3}$. C) $Undefined$. D) $0$. Show Answer Correct Answer: C) $Undefined$. 34. What is the cosine of $\frac{\pi}{3}$ A) 1. B) $\frac{\sqrt{3}}{2}$. C) $\frac{\sqrt{2}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: D) $\frac{1}{2}$. 35. Find arccos $\frac{\sqrt[]{3}}{2}$ A) 45$^\circ$. B) 60$^\circ$. C) 90$^\circ$. D) 30$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: D) 30$^\circ$. 36. The curve of which following function is an increasing curve A) Sin(x). B) $\cos^{-1}\left(x\right)$. C) $\sin^{-1}\left(x\right)$. D) Cos(x). Show Answer Correct Answer: C) $\sin^{-1}\left(x\right)$. 37. What is the derivative of-cos(x)? A) -sin(x). B) -cos(x). C) Cos(x). D) Sin(x). Show Answer Correct Answer: D) Sin(x). 38. Which is equivalent to $\cos45\cos30-\sin45\sin30$ A) $\cos75$. B) $\sin15$. C) $\cos15$. D) $\sin75$. Show Answer Correct Answer: A) $\cos75$. 39. Where does the graph of y=sin(x) begin its first cycle? A) (1, Pi). B) (0, 0). C) (1, 0). D) (0, Pi). Show Answer Correct Answer: B) (0, 0). 40. In the following question a statement of Assertion (A) is followed by a statement of Reason (R). Pick the correct option: A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is not the correct explanation of A. C) A is true but R is false. D) A is false but R is true. E) Both A and R are false. Show Answer Correct Answer: A) Both A and R are true and R is the correct explanation of A. 41. What is the reference angle for 330 degrees? A) 150 degrees. B) 330 degrees. C) 30 degrees. D) 60 degrees. Show Answer Correct Answer: C) 30 degrees. 42. Which of the following is equivalent to $89^o11'15"$ A) 89.2 degrees. B) 89.1 degrees. C) 89.5 degrees. D) 89.4 degrees. Show Answer Correct Answer: A) 89.2 degrees. 43. Find the exact value of $\tan^{-1}\left(-1\right)$ A) $\frac{\pi}{4}$. B) $\frac{3\pi}{4}$. C) $\frac{7\pi}{4}$. D) $-\frac{\pi}{4}$. Show Answer Correct Answer: D) $-\frac{\pi}{4}$. 44. The derivative, $f'\left(x\right)$ $f\left(x\right)=\sin\left(2x^2\right)$ A) $-4x\cos\left(2x^2\right)$. B) $\cos\left(2x^2\right)$. C) $-\cos\left(2x^2\right)$. D) $4x\cos\left(2x^2\right)$. Show Answer Correct Answer: D) $4x\cos\left(2x^2\right)$. 45. Which of the following statements are true?I. cot 0$^\circ$ = 1 II. tan 180$^\circ$ = 0 III. cos 90$^\circ$ =-1 A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: B) II. 46. To use the Pythagorean Theorem, we need ..... A) A triangle with 2 known angles. B) A right triangle with 2 known angles. C) A triangle with 2 known sides. D) A right triangle with 2 known sides. Show Answer Correct Answer: D) A right triangle with 2 known sides. 47. Unit for measurement of angle? A) Length. B) Mole. C) Height. D) Radian. Show Answer Correct Answer: D) Radian. 48. What is the formula for sin(C-D)? A) Sin C cos D-cos C sin D. B) Sin C sin D. C) Sin C-sin D. D) Sin C + sin D. Show Answer Correct Answer: A) Sin C cos D-cos C sin D. 49. The period of a function is A) The length of one cycle. B) How high and low the function goes from the center line. C) The range of the function. D) None of the above. Show Answer Correct Answer: A) The length of one cycle. 50. $\tan^2\left(\sec^{-1}2\right)+\cot^2\left(\operatorname{cosec}^{-1}2\right)=$ A) 13. B) 3. C) 11. D) 15. Show Answer Correct Answer: C) 11. 51. For the function y = |sin x-2|, it has A) Maximum value of 3minimum value of 1. B) Maximum value of 1minimum value of-3. C) Maximum value of 2minimum value of-2. D) Maximum value of 2 minimum value of 0. Show Answer Correct Answer: A) Maximum value of 3minimum value of 1. 52. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\cos\left(4x\right)$ A) -2 sin (4x). B) 2 sin (4x). C) -8 sin (4x). D) 8 sin (4x). Show Answer Correct Answer: C) -8 sin (4x). 53. The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 54. How many radians does a circle have? A) Pi radians. B) 360 degrees. C) $^{2 radians}$. D) 2pi radians. Show Answer Correct Answer: D) 2pi radians. 55. How do you recognise the opposite side? A) It is opposite the angle involved. B) It is opposite the right angle. C) It is opposite the hypotenuse. D) There are no sides called opposite. Show Answer Correct Answer: A) It is opposite the angle involved. 56. A right angled triangle has sides 6cm, 8cm and 10cm long. Which side is the hypotenuse? A) The 10cm. B) In a right angled triangle there is no hypotenuse. C) The 6cm. D) The 8cm. Show Answer Correct Answer: A) The 10cm. 57. What is the definition for cosecant (csc)? A) Y/r. B) Y/x. C) R/y. D) R/x. Show Answer Correct Answer: C) R/y. 58. Evaluate:$\sec\left(\frac{17\pi}{4}\right)$ A) $\sqrt[]{2}$. B) $-\sqrt[]{2}$. C) $1$. D) $\frac{-\sqrt[]{3}}{2}$. Show Answer Correct Answer: A) $\sqrt[]{2}$. 59. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\sec\left(\sin^{-1}\left(-\frac{15}{113}\right)\right)=R$ $R$ A) $\frac{113}{112}$. B) 112113 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{113}{112}$. 60. $\cos\left(\frac{27\pi}{4}\right)=$ A) $-\frac{\sqrt{3}}{2}$. B) $-\frac{\sqrt{2}}{2}$. C) $\frac{\sqrt{3}}{2}$. D) $\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: B) $-\frac{\sqrt{2}}{2}$. ← 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 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books