This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 12 (42 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The coordinates of two points are A(3, 4) and B(9, 12). Find the magnitude of AB A) 100. B) 81. C) 16. D) 10. Show Answer Correct Answer: D) 10. 2. Find the sec $\left(\frac{11\pi}{6}\right)$ A) $-\frac{\sqrt[]{3}}{2}$. B) $\frac{2\sqrt[]{3}}{3}$. C) $-\sqrt[]{2}$. D) $Undefined$. Show Answer Correct Answer: B) $\frac{2\sqrt[]{3}}{3}$. 3. Which graphs have a period of $\pi$ A) Sine and cosine. B) Secant and cosecant. C) Tangent and cotangent. D) Sine, cosine, secant, and cosecant. Show Answer Correct Answer: C) Tangent and cotangent. 4. True or false:$\sin\left(k\cdot\pi\right)$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 5. The graph of inverse trigonometric can be obtained from the graph of their corresponding function by interchanging X and Y-axes. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. Trigonometry is used when A) 3 sides are involved. B) 1 angle and 2 sides are involved. C) 3 angles are involved. D) You need to draw a circle. Show Answer Correct Answer: B) 1 angle and 2 sides are involved. 7. The principal value of $\\\tan^{-1}\sqrt{3}-\\sec^{-1}\left(-2\right)\\is$ A) $\pi$. B) $\frac{\pi}{3}$. C) $\frac{2\pi}{3}$. D) None of the above. Show Answer Correct Answer: B) $\frac{\pi}{3}$. 8. Find the sin $\left(\frac{5\pi}{4}\right)$ A) $-1$. B) $-\frac{\sqrt[]{2}}{2}$. C) $-\frac{1}{2}$. D) $\frac{\sqrt[]{2}}{2}$. Show Answer Correct Answer: B) $-\frac{\sqrt[]{2}}{2}$. 9. Given the Cos(x) =-2/3, then the Sec(x) =? A) -2/3. B) -3/2. C) 2/3. D) 3/2. Show Answer Correct Answer: B) -3/2. 10. Let f(x) = 3 tan(4t)-5. What is the vertical stretch of f(x)? A) 5. B) 2. C) 4. D) 3. Show Answer Correct Answer: D) 3. 11. How far apart are the asymptotes for the equation y = sec(3x) + 5? A) 6pi. B) 3pi. C) Pi/3. D) 2pi/3. E) Pi/6. Show Answer Correct Answer: C) Pi/3. 12. The domain of sin$^{-1}$(2x) is A) [-2, 2]. B) [-1/2, 1/2]. C) [0, 1]. D) [-1, 1]. Show Answer Correct Answer: B) [-1/2, 1/2]. 13. What is the ratio for $^{}$Tangent? A) Adjacent Leg / Hypotenuse. B) Opposite Leg / Hypotenuse. C) Adjacent Leg / Opposite Leg. D) Opposite Leg / Adjacent Leg. Show Answer Correct Answer: D) Opposite Leg / Adjacent Leg. 14. $\tan\left(\frac{7\pi}{4}\right)=$ A) 0. B) -1. C) 1. D) Undefined. Show Answer Correct Answer: B) -1. 15. In which quadrant is $-\frac{22\pi}{3}$ A) Quadrant 3. B) Quadrant 1. C) Quadrant 2. D) Quadrant 4. Show Answer Correct Answer: C) Quadrant 2. 16. $\tan^{-1}\left(0\right)=?$ A) $\frac{\pi}{2}$. B) 0. C) $\frac{\pi}{4}$. D) $\frac{3\pi}{2}$. Show Answer Correct Answer: B) 0. 17. If f(x) =-csc(x/2), then f'(x) = A) 2csc(x/2)cot(x/2). B) Sec$^{2}$(x/2). C) -csc$^{2}$(x/2). D) 1/2csc(x/2)cot(x/2). Show Answer Correct Answer: D) 1/2csc(x/2)cot(x/2). 18. The value of cos(-240$^{0}$) is A) 0.5. B) -0.707. C) -0.5. D) -0.866. Show Answer Correct Answer: C) -0.5. 19. Evaluate $\sin^{-1}\left(2\right)$ A) $\frac{\pi}{4}$. B) $\frac{\pi}{2}$. C) $0.5$. D) $undefined$. Show Answer Correct Answer: D) $undefined$. 20. What is the inverse formula for sec x? A) 1/cos(x). B) Cos(x). C) 1/sin(x). D) Tan(x). Show Answer Correct Answer: A) 1/cos(x). 21. Which of the following statements are true?I. sin 135 = sin 45II. sin 130 < sin 120III. cos 145 > cos 165 A) I. B) II. C) III. D) I and II. E) I, II and III. Show Answer Correct Answer: E) I, II and III. 22. Which trig ratio uses the adjacent side and the opposite side? A) Sine. B) Cosine. C) Tangent. D) None of the above. Show Answer Correct Answer: C) Tangent. 23. Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d? A) C. B) B. C) D. D) A. Show Answer Correct Answer: A) C. 24. What is the missing number?Sin( ) = Cos(60) A) 25. B) 35. C) 20. D) 30. Show Answer Correct Answer: D) 30. 25. What is the formula for Cosine? A) Adjacent/Opposite. B) Opposite/Adjacent. C) Opposite/Hypotenuse. D) Adjacent/Hypotenuse. Show Answer Correct Answer: D) Adjacent/Hypotenuse. 26. Find the exact value of $\sec^{-1}\left(\sec\left(\frac{\pi}{2}\right)\right)$ A) $\frac{\pi}{2}$. B) Undefined. C) Can't be determined. D) None of the above. Show Answer Correct Answer: B) Undefined. 27. The angle $\theta$ $III$ $\cos\\theta=-\frac{5}{8}$ $\sin\\theta$ $\sin\\theta$ A) $-\frac{\sqrt{39}}{8}$. B) -839 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{\sqrt{39}}{8}$. 28. What is the global maximum value of the function $y=-3\cos\left(2x-\frac{\pi}{3}\right)+4$ A) $-3$. B) $7$. C) $3$. D) $1$. Show Answer Correct Answer: B) $7$. 29. $\lim_{x\rightarrow0}\\frac{\sin\\frac{1}{3}x}{x}$ A) $0$. B) $-\frac{1}{3}$. C) -3. D) 3. E) $\frac{1}{3}$. Show Answer Correct Answer: E) $\frac{1}{3}$. 30. What is the phase shift of the graph of $f\left(x\right)=\tan\left(\theta+\frac{2\pi}{3}\right)+2$ A) 2 down. B) 2pi/3 left. C) 2 up. D) 2pi/3 right. Show Answer Correct Answer: B) 2pi/3 left. 31. If I wanted to find the sine of an angle, what side lengths would I need to know? A) Opposite, hypotenuse. B) Hypotenuse, adjacent. C) Base, hypotenuse. D) Adjacent, opposite. Show Answer Correct Answer: A) Opposite, hypotenuse. 32. Find the exact value of $\sec^{-1}\left(-2\right)$ A) $-\frac{2\pi}{3}$. B) $\frac{2\pi}{3}$. C) $\frac{4\pi}{3}$. D) $-\frac{\pi}{3}$. Show Answer Correct Answer: B) $\frac{2\pi}{3}$. 33. $\cos\left(\frac{\pi}{6}\right)$ A) $\frac{\sqrt[]{2}}{2}$. B) 0. C) $\frac{\sqrt[]{3}}{2}$. D) 1. E) $\frac{1}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt[]{3}}{2}$. 34. $\frac{\text{d}}{\text{d}y}\left(\sin x\right)$ A) $\sin^{-1}x$. B) $-\cos x$. C) $\frac{1}{\sin x}$. D) $\sin x\cos x$. E) $\cos x$. Show Answer Correct Answer: E) $\cos x$. 35. Which trigonometric function is defined as hyp/opp in a right triangle? A) Tangent. B) Cotangent. C) Cosecant. D) Secant. Show Answer Correct Answer: C) Cosecant. 36. How many "key points" should be included in every cycle/period of a trig graph? A) 5. B) It depends on the graph. C) As many as I want. D) 4. Show Answer Correct Answer: A) 5. 37. How many degrees are there in half a circle? A) 2pi. B) 360$^{o}$. C) 180$^{o}$. D) Pi. Show Answer Correct Answer: C) 180$^{o}$. 38. Find the exact value of $\tan\frac{5\pi}{3}$ A) 1. B) $\sqrt{3}$. C) $-\sqrt{3}$. D) $-\sqrt{2}$. Show Answer Correct Answer: C) $-\sqrt{3}$. 39. The derivative of $x\cos2x$ A) $2x\sin2x+\cos2x$. B) $\cos2x+4\sin2x$. C) $-2x\sin2x+\cos2x$. D) $2x\cos2x$. Show Answer Correct Answer: C) $-2x\sin2x+\cos2x$. 40. The x-coordinate of the point at $\theta=\frac{5\pi}{4}$ A) $-\frac{1}{2}$. B) $-\frac{\sqrt[]{3}}{2}$. C) $\frac{\sqrt[]{2}}{2}$. D) $-\frac{\sqrt[]{2}}{2}$. Show Answer Correct Answer: D) $-\frac{\sqrt[]{2}}{2}$. 41. What is the value of $\cos\left(\frac{\pi}{6}\right)$ A) $-\frac{\sqrt{3}}{2}$. B) $0$. C) $\frac{\sqrt{3}}{2}$. D) $2$. Show Answer Correct Answer: C) $\frac{\sqrt{3}}{2}$. 42. What is the value of the trigonometric function $\sin\\frac{\pi}{3}$ A) $-2$. B) $\sqrt[]{3}$. C) $\frac{1}{2}$. D) $\frac{\sqrt[]{3}}{2}$. Show Answer Correct Answer: D) $\frac{\sqrt[]{3}}{2}$. ← PreviousRelated 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