This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $evaluate\\tan^{-1}\left\{\sin\left(-\frac{\pi}{2}\right)\right\}$ A) $-\frac{\pi}{4}$. B) $\frac{\pi}{4}$. C) $-\frac{3\pi}{4}$. D) $\frac{3\pi}{4}$. Show Answer Correct Answer: A) $-\frac{\pi}{4}$. 2. Find the reference angle for an angle measuring-300$^\circ$ A) 30$^\circ$. B) 60$^\circ$. C) -60$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: B) 60$^\circ$. 3. Cos (180$^\circ$ + x) = A) -cosx. B) Sinx. C) Cosx. D) -sinx. Show Answer Correct Answer: A) -cosx. 4. What is the value of $\frac{\text{d}}{\text{d}x}\left(e^x\tan x\right)$ A) 2. B) -1. C) 1. D) 0. Show Answer Correct Answer: C) 1. 5. Give the Ratio for COS X A) Opp/Adj. B) Adj/Opp. C) Opp/Hyp. D) Adj/Hyp. Show Answer Correct Answer: D) Adj/Hyp. 6. Given $\cos(\theta) = \frac{5}{13}$ $\sin(\theta)$ A) $\frac{12}{13}$. B) $\frac{5}{12}$. C) $\frac{5}{13}$. D) $\frac{13}{12}$. Show Answer Correct Answer: A) $\frac{12}{13}$. 7. Solve the equation sinx=1 A) 45. B) 0. C) 90. D) 180. Show Answer Correct Answer: C) 90. 8. It is given that cos = k, where k is a constant and 0 < x < 90. Find in terms of k for sin 2x A) 2k $\sqrt{1-k^2}$. B) 2k. C) -2k $\sqrt{1-k^2}$. D) $\sqrt{k^2-1}$. Show Answer Correct Answer: A) 2k $\sqrt{1-k^2}$. 9. Cotangent is defined as A) Opposite/hypotenuse. B) Adjacent/hypotenuse. C) Opposite/adjacent. D) Adjacent/opposite. Show Answer Correct Answer: D) Adjacent/opposite. 10. Principal value branch of $\sec^{-1}\left(-2\right)$ A) $\frac{-2\pi}{3}$. B) $\frac{\pi}{3}$. C) $\frac{-\pi}{3}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: D) $\frac{2\pi}{3}$. 11. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\csc\left(\cos^{-1}\left(\frac{9}{41}\right)\right)=R$ $R$ A) $\frac{41}{40}$. B) 4041 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{41}{40}$. 12. What is the sine of pi/2? A) 0. B) 1. C) $\sqrt{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: B) 1. 13. The derivative of sin2x with respect to x is A) -2 cos x. B) 2 cos x. C) -2 cos 2x. D) 2 cos 2x. Show Answer Correct Answer: D) 2 cos 2x. 14. The study of trigonometry was started first in A) India. B) Greece. C) Europe. D) China. Show Answer Correct Answer: A) India. 15. What is the exact value of $\tan\left(\pi\right)$ A) 0. B) Undefined. C) -1. D) 1. Show Answer Correct Answer: A) 0. 16. What is the exact value of $\sin\left(\frac{13\pi}{6}\right)$ A) $\frac{\sqrt{2}}{2}$. B) $\frac{1}{2}$. C) $\frac{\sqrt{3}}{2}$. D) $2$. Show Answer Correct Answer: B) $\frac{1}{2}$. 17. Which of the following functions has a domain that is $\left(-\infty, \infty\right)$ A) $y=-2\cos\left(4x+2\pi\right)$. B) $y=\sec\left(3x-\pi\right)+2$. C) $y=4\tan\left(4x+\frac{\pi}{3}\right)$. D) None of the above. Show Answer Correct Answer: A) $y=-2\cos\left(4x+2\pi\right)$. 18. How do you know which side is the OPPOSITE? A) It is the bottom leg of the triangle. B) It is next to the right angle. C) It is across from the angle. D) It is opposite the right angle. Show Answer Correct Answer: C) It is across from the angle. 19. Which of the following parent functions is not continuous? A) Y=sin(x). B) Y=cos(x). C) Y=tan(x). D) All of these are continuous. Show Answer Correct Answer: C) Y=tan(x). 20. What trigonometric function is primarily discussed in the video? A) Sine. B) Cosine. C) Tangent. D) Cotangent. Show Answer Correct Answer: B) Cosine. 21. What are the 3 basic trigonometric 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. 22. Find the exact value of $\sin\frac{7\pi}{6}$ A) 0. B) $-\frac{2\sqrt{3}}{3}$. C) -2. D) $-\frac{1}{2}$. Show Answer Correct Answer: D) $-\frac{1}{2}$. 23. Find dy/dx for y= cos 4x A) Dy/dx =-4 sin 4x. B) Dy/dx = 4 sin 4x. C) Dy/dx =-4 cos 4x. D) Dy/dx=sin 4x. Show Answer Correct Answer: A) Dy/dx =-4 sin 4x. 24. $Q\left(8\right)\\lim_{x\rightarrow0}\\frac{\sin x\\cos x}{x}$ A) 1. B) 0. C) -2. D) -1. Show Answer Correct Answer: A) 1. 25. Find the Principal Value of $\operatorname{cosec}^{-1}\left(-\sqrt{2}\right)$ A) $\frac{\pi}{2}$. B) $\pi$. C) $0$. D) $-\frac{\pi}{4}$. Show Answer Correct Answer: D) $-\frac{\pi}{4}$. 26. Checkpoint 7c:Use reference angles to find the exact value of sec( $-\frac{\pi}{6}$ A) $\frac{2\sqrt{3}}{3}$. B) 323 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{2\sqrt{3}}{3}$. 27. $\tan\left(360-\theta\right)=$ A) $-\tan\\theta$. B) $-\cot\\theta$. C) $\cot\\theta$. D) $\tan\\theta$. Show Answer Correct Answer: A) $-\tan\\theta$. 28. Find the exact value of $\cos^{-1}\left(-\frac{1}{2}\right)$ A) $\frac{2\pi}{3}$. B) $\frac{\pi}{3}$. C) $\frac{\pi}{6}$. D) $-\frac{\pi}{3}$. Show Answer Correct Answer: A) $\frac{2\pi}{3}$. 29. What is the trigonometric function for tan x? A) Cos x/sin x. B) 1/cos x. C) Sin x/cos x. D) 1/sin x. Show Answer Correct Answer: C) Sin x/cos x. 30. What is the period of y = (x /4 + 5pi/3) + 1in radians? A) 8pi. B) Pi. C) 4pi. D) 2pi. Show Answer Correct Answer: A) 8pi. 31. Based on your unit circle cos(0$^{o}$)= A) 1. B) 1/2. C) -1. D) 0. Show Answer Correct Answer: A) 1. 32. $\tan^{-1}\left[2\cos\left(2\sin^{-1}\\frac{1}{2}\right)\right]$ A) $\frac{\pi}{2}$. B) $\frac{2\pi}{3}$. C) $\frac{\pi}{3}$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: D) $\frac{\pi}{4}$. 33. Give the amplitude of sine. A) 1. B) 0. C) -1. D) None. Show Answer Correct Answer: A) 1. 34. $\frac{d}{dt}\left(4\sec t+\tan t\right)=$ A) $4\sec t+\tan t$. B) $\tan t\left(4\sec t+\tan t\right)$. C) $\sec t\left(4\tan t+\sec t\right)$. D) $4\tan t+\sec t$. Show Answer Correct Answer: C) $\sec t\left(4\tan t+\sec t\right)$. 35. Find $\frac{dy}{dx}$ $y=\frac{3x+2^{ }}{2x+1}$ A) $-\frac{1}{\left(2x+1\right)^2}$. B) $2x+1$. C) $\left(2x+1\right)^{-2}$. D) $\frac{1}{\left(2x+1\right)^2}$. Show Answer Correct Answer: A) $-\frac{1}{\left(2x+1\right)^2}$. 36. $\sin\left(\cos^{-1}\\frac{7}{25}\right)$ A) $\frac{25}{24}$. B) $\frac{24}{7}$. C) $\frac{24}{25}$. D) $\frac{7}{24}$. Show Answer Correct Answer: C) $\frac{24}{25}$. 37. What is the tangent of $\frac{5\pi}{4}$ A) 0. B) -1. C) Undefined. D) 1. Show Answer Correct Answer: D) 1. 38. If sin x = 12/15, what is the value of the cot x? A) 9/12. B) 15/9. C) 12/9. D) 9/15. Show Answer Correct Answer: A) 9/12. 39. What is the value of the trigonometric function $\tan\\frac{3\pi}{2}$ A) $0$. B) 1. C) $\infty$. D) $-1$. Show Answer Correct Answer: C) $\infty$. 40. At what point are sine and cosine the same value? A) 45. B) 60. C) 90. D) 0. Show Answer Correct Answer: A) 45. 41. What is $\cos^2(\theta) + \sin^2(\theta)$ A) $\cos(\theta)$. B) $1$. C) $\sin(\theta)$. D) $0$. Show Answer Correct Answer: B) $1$. 42. Simplify:sin x cot x A) Cos x. B) Sin x. C) Sec x. D) Tan x. Show Answer Correct Answer: A) Cos x. 43. What does C represent in an antiderivative? A) A variable. B) A constant. C) None of these. D) Unknown. Show Answer Correct Answer: B) A constant. 44. $\left(3C\right)\\lim_{x\rightarrow0}\\frac{\sin^23x}{5x^2}$ A) 9. B) $\frac{9}{5}$. C) $\frac{5}{9}$. D) 5. Show Answer Correct Answer: B) $\frac{9}{5}$. 45. What is the reference angle for $\frac{4\pi}{3}$ A) $\frac{\pi}{4}$. B) $\frac{7\pi}{6}$. C) $\frac{\pi}{3}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: C) $\frac{\pi}{3}$. 46. Where does the graph of sine begin? A) (Max, 0). B) (1, Pi). C) (0, 0). D) (0, Pi). Show Answer Correct Answer: C) (0, 0). 47. The value of the expression $\sin[\cot^{-1}(\cos(\tan^{-1}1)]$ A) $\sqrt[]{\frac{2}{3}}$. B) $\frac{1}{\sqrt[]{3}}$. C) 0. D) 1. Show Answer Correct Answer: A) $\sqrt[]{\frac{2}{3}}$. 48. What is the value of the trigonometric function $\csc\\frac{\pi}{4}$ A) $\sqrt[]{2}$. B) $0$. C) $\frac{\sqrt[]{2}}{2}$. D) 1. Show Answer Correct Answer: A) $\sqrt[]{2}$. 49. If cot(x) =0.3, what is cot (-x)? A) -(0.3). B) +0.3. C) -0.5. D) -0.3. Show Answer Correct Answer: D) -0.3. 50. Sin ( 360$^\circ$ * n + x ) = A) Cos x. B) Sin x. C) -sin x. D) -cos x. Show Answer Correct Answer: B) Sin x. 51. The expression $\sin^2x$ A) $\left(\sin x\right)^2$. B) $\sin x^2$. C) $2\sin x$. D) None of the above. Show Answer Correct Answer: A) $\left(\sin x\right)^2$. 52. The graph of tangent function is ..... A) Continuous. B) Discontinuous. C) None. D) None of the above. Show Answer Correct Answer: B) Discontinuous. 53. Solve for sec x if tan x = 7/24 A) 24/7. B) 25/7. C) 24/25. D) 7/25. Show Answer Correct Answer: B) 25/7. 54. Find arctan $\frac{\sqrt[]{3}}{3}$ A) 30$^\circ$. B) 45$^\circ$. C) 0$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: A) 30$^\circ$. 55. Select the MOST SIMPLIFIED answer for the problem:$\frac{\cot^2x}{1-\sin^2x}$ A) $\frac{1}{\sin^2x}$. B) $\frac{\cot^2x}{\cos^2x}$. C) $\csc^2x$. D) 1. Show Answer Correct Answer: C) $\csc^2x$. 56. Find the derivative of $e^{x^2}$ A) $e^{x^2}$. B) $2e^{x^2}$. C) 2x. D) $2xe^{x^2}$. Show Answer Correct Answer: D) $2xe^{x^2}$. 57. Which of the following functions has the following properties?1) Amplitude = 32) Period = $\frac{\pi}{2}$ $\frac{\pi}{6}$ A) $f\left(x\right)=3\sin\left(4x-\frac{2\pi}{3}\right)-9$. B) $-3\sin\left(4x+\frac{\pi}{6}\right)-9$. C) $-3\sin\left(4x-\frac{\pi}{6}\right)-9$. D) $3\sin\left(2x-\frac{\pi}{3}\right)+9$. Show Answer Correct Answer: A) $f\left(x\right)=3\sin\left(4x-\frac{2\pi}{3}\right)-9$. 58. Which of these is not the same? A) Cos$^{-1}$ (1). B) Tan$^{-1}$(1). C) Sec$^{-1}$(1). D) Sin$^{-1}$ (0). Show Answer Correct Answer: B) Tan$^{-1}$(1). 59. For this question, you are allowed to use a scratch paper.Solve the equation:$4\tan^{-1}\left(x\right)=-\pi$ A) $-1$. B) $\frac{\sqrt{3}}{3}$. C) $1$. D) $\sqrt{3}$. Show Answer Correct Answer: A) $-1$. 60. $\max\left(2-5\sin x\right)=?$ A) 3. B) Undefined. C) 7. D) -3. Show Answer Correct Answer: C) 7. ← 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