This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The parent graph of the tangent function has what feature located at $\frac{\pi}{2}$ A) Maximum value. B) Minimum value. C) X-intercept. D) Vertical asymptote. Show Answer Correct Answer: D) Vertical asymptote. 2. Express $2\sin^2x-7\cos^2x+4$ $\sin x$ A) $9\sin^2x-3$. B) $9\sin^2x+3$. C) $9\sin^2x-6$. D) None of the above. Show Answer Correct Answer: A) $9\sin^2x-3$. 3. What is the period of $y=\tan x$ A) $4$. B) $\pi$. C) $\frac{\pi}{2}$. D) $2\pi$. Show Answer Correct Answer: B) $\pi$. 4. Identify the domain of $f\left(x\right)=\cos^{-1}\left(2x\right)$ A) $-\frac{1}{2}\le x\le\frac{1}{2}$. B) $-2\le x\le2$. C) $-1\le x\le1$ $-1 D) $-\infty Show Answer Correct Answer: A) $-\frac{1}{2}\le x\le\frac{1}{2}$. 5. What is the amplitude of $y=a\sin\left(b\theta+c\right)+d$ A) $a$. B) $\frac{2\pi}{\left|b\right|}$. C) $y=d$. D) $\left|a\right|$. Show Answer Correct Answer: B) $\frac{2\pi}{\left|b\right|}$. 6. $\cos\left(\frac{5\pi}{6}\right)=$ A) $\frac{\sqrt[]{3}}{2}$. B) $-\frac{1}{2}$. C) $\frac{1}{2}$. D) $-\frac{\sqrt[]{3}}{2}$. Show Answer Correct Answer: D) $-\frac{\sqrt[]{3}}{2}$. 7. If cot x =-5/12, x lies in second quadrant, find the values sin x A) -12/13. B) -5/13. C) 12/13. D) 5/13. Show Answer Correct Answer: C) 12/13. 8. Evaluate:$\cos\\frac{7\pi}{4}$ A) $\frac{1}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $\sqrt{2}$. D) $\frac{1}{\sqrt{2}}$. Show Answer Correct Answer: D) $\frac{1}{\sqrt{2}}$. 9. Cosine is defined as A) Hypotenuse/adjacent. B) Opposite/adjacent. C) Adjacent/hypotenuse. D) Opposite/hypotenuse. Show Answer Correct Answer: C) Adjacent/hypotenuse. 10. Inverse of sine of x = sine inverse of x A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 11. What is the reference angle for 125 degrees? A) 125 degrees. B) 75 degrees. C) 55 degrees. D) 235 degrees. Show Answer Correct Answer: C) 55 degrees. 12. What is $\frac{11\pi}{6}$ A) 30. B) 360. C) 300. D) 330. Show Answer Correct Answer: D) 330. 13. In the functions f(x)=Asin(Bx + C) + D, |A| represents what? A) Midline. B) Vertical translation. C) Phase shift. D) Amplitude. Show Answer Correct Answer: D) Amplitude. 14. $\sin\left(\frac{\pi}{4}\right)$ A) 0. B) $\frac{\sqrt[]{2}}{2}$. C) 1. D) $\frac{\sqrt[]{3}}{2}$. E) $\frac{1}{2}$. Show Answer Correct Answer: B) $\frac{\sqrt[]{2}}{2}$. 15. What is the ratio of the hypotenuse to the opposite side with respect to thegiven angle? A) Secant. B) Cosecant. C) Cosine. D) Sine. Show Answer Correct Answer: B) Cosecant. 16. Find dy/dx for $y=e^{6x}$ A) $6xe^{6x-1}$. B) $6e^{6x}$. C) $e^{6x-1}$. D) $e^{6x}$. Show Answer Correct Answer: B) $6e^{6x}$. 17. Cot(sin$^{-1}$(1/2)) A) $\frac{-\\\sqrt[]{3}}{3}$. B) $\sqrt[]{3}$. C) $\frac{\sqrt[]{3}}{3}$. D) $-\\\sqrt[]{3}$. Show Answer Correct Answer: B) $\sqrt[]{3}$. 18. $\frac{d}{dx}\left(\tan x\right)=$ A) $\sec x\tan x$. B) $-\csc^2x$. C) $-\csc x\cot x$. D) $\sec^2x$. Show Answer Correct Answer: D) $\sec^2x$. 19. What is the period? $f(x)=\sin x+5$ A) $5\pi$. B) $2\pi$. C) $\frac{\pi}{5}$. D) $\pi$. Show Answer Correct Answer: B) $2\pi$. 20. The diagonal elements of a skew matrix are A) All zeroes. B) Are all equal to some constant k( not eqqual to 0). C) Can be any number. D) None of these. Show Answer Correct Answer: A) All zeroes. 21. What is the amplitude of the following function $y=2\csc\left(x-\pi\right)+3$ A) 3. B) 1. C) -1. D) 2. Show Answer Correct Answer: D) 2. 22. Find the derivative of f(x) =-3x$^{4}$cscx A) F'(x) =-12x$^{3}$cscx + 3x$^{4}$cotxcscx. B) F'(x) =-3x$^{4}$cscxcotx. C) F'(x) =-3xcosx. D) F'(x) = 12x$^{3}$cscxcotx. Show Answer Correct Answer: A) F'(x) =-12x$^{3}$cscx + 3x$^{4}$cotxcscx. 23. Cosine inverse function is ..... A) Odd. B) Even. C) None. D) None of the above. Show Answer Correct Answer: C) None. 24. Give the Ratio for TAN X A) Opp/Hyp. B) Adj/Opp. C) Opp/Adj. D) Adj/Hyp. Show Answer Correct Answer: C) Opp/Adj. 25. What is the coterminal angle for-300? A) -660. B) 60. C) 300. D) -60. Show Answer Correct Answer: B) 60. 26. What is the value of $\tan\left(0\right)$ A) $-\sqrt{3}$. B) Undefined. C) $-1$. D) $0$. Show Answer Correct Answer: D) $0$. 27. If cos $\alpha$ = sin $\beta$, what must be true about $\alpha$ and $\beta$? A) $\alpha$ and $\beta$ are complementary angles. B) $\alpha$ and $\beta$ are congruent angles. C) $\alpha$ and $\beta$ are right angles. D) $\alpha$ and $\beta$ are supplementary angles. Show Answer Correct Answer: A) $\alpha$ and $\beta$ are complementary angles. 28. What type of symmetry does an odd function have? A) Reflection. B) Rotation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Rotation. 29. A special right angled triangle has sides 12cm and 13cm. What is the length of the 3rd side? A) 5cm. B) 14cm. C) 15cm. D) 11cm. Show Answer Correct Answer: A) 5cm. 30. $\frac{d}{dx}\left(x-3\sin x\right)=$ A) $1-3\sin x$. B) $1-3\cos x$. C) $1+3\sin x$. D) $1+3\cos x$. Show Answer Correct Answer: B) $1-3\cos x$. 31. Tangent function amplitude is ..... A) 1. B) -1. C) Not defined. D) None of the above. Show Answer Correct Answer: C) Not defined. 32. What is the period in the function-3 sin (2(x-40$^\circ$)) + 7? A) 120$^\circ$. B) 720$^\circ$. C) 360$^\circ$. D) 180$^\circ$. Show Answer Correct Answer: D) 180$^\circ$. 33. Principal branch of $\tan^{-1}x$ A) $\left(0, \pi\right)$. B) $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$. C) $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$. D) $\left[0, \pi\right]$. Show Answer Correct Answer: B) $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$. 34. If A is matrix of order mxn and B is a matrix such that AB' and B'A are both defined then order of matrix B is A) Mxm. B) Nxm. C) Mxn. D) Nxn. Show Answer Correct Answer: C) Mxn. 35. Find the exact value of $\cos^{-1}\left(\tan\\frac{\pi}{4}\right)$ A) 1. B) $\frac{\sqrt{2}}{2}$. C) $-\frac{\sqrt{2}}{2}$. D) 0. Show Answer Correct Answer: D) 0. 36. What is the period of the parent functions of sin and cos functions? A) 1/ $\pi$. B) 1. C) 2 $\pi$. D) 2. Show Answer Correct Answer: C) 2 $\pi$. 37. What is the reference angle for-30$^\circ$? A) 150$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 80$^\circ$. Show Answer Correct Answer: B) 30$^\circ$. 38. Solve the trigonometric equation:$\tan^2\left(x\right)+2\tan\left(x\right)=-1$ A) $\frac{2\pi}{3}, \frac{5\pi}{3}$. B) $\frac{7\pi}{6}, \frac{\pi}{6}$. C) $\frac{\pi}{4}, \frac{5\pi}{4}$. D) $\frac{3\pi}{4}, \frac{7\pi}{4}$. Show Answer Correct Answer: D) $\frac{3\pi}{4}, \frac{7\pi}{4}$. 39. Find the Principal Value of $\tan^{-1}\left(\tan\frac{3\pi}{4}\right)$ A) $-\frac{\pi}{4}$. B) $-\pi$. C) $\frac{3\pi}{4}$. D) $-\frac{5\pi}{4}$. Show Answer Correct Answer: A) $-\frac{\pi}{4}$. 40. Minimum value of sine function is ..... A) -1. B) 1. C) None. D) None of the above. Show Answer Correct Answer: A) -1. 41. Using the reference angle, find the exact value of $\tan\left(\frac{5\pi}{3}\right)$ A) $\sqrt[]{3}$. B) $-\sqrt[]{3}$. C) $-1$. D) $-\frac{\sqrt[]{3}}{3}$. Show Answer Correct Answer: B) $-\sqrt[]{3}$. 42. Which functions are discussed as having their values derived from the complementary angle? A) Tangent and Cotangent. B) Secant and Cosecant. C) All of the above. D) Sine and Cosine. Show Answer Correct Answer: C) All of the above. 43. What is the domain of the inverse cotangent function? A) $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. B) $\left[0, \pi\right]$. C) $\left(-1, 1\right)$. D) $\left(-\infty, +\infty\right)$. Show Answer Correct Answer: D) $\left(-\infty, +\infty\right)$. 44. What is sin$^{-1}$(1/2)? A) 120. B) 60. C) 150. D) 30. Show Answer Correct Answer: D) 30. 45. What does the acronym stand for? A) Circles Are Trig Systems (CAST). B) All Students Study Trigonometry (ASST). C) All Students Take Calculus (ASTC). D) All Slopes Track Sine (ASTS). Show Answer Correct Answer: C) All Students Take Calculus (ASTC). 46. Find the exact value. $\sin\left(\frac{10\pi}{3}\right)$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{1}{2}$. C) $-\frac{\sqrt{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{\sqrt{3}}{2}$. 47. $\frac{\text{d}}{\text{d}y}\left(\frac{\sin x}{x^2}\right)$ A) $\frac{-x\cos x+2\sin x}{x^3}$. B) $-\frac{x\cos x+2\sin x}{x^3}$. C) $\frac{x\cos x-2\sin x}{x^3}$. D) $\frac{x\cos x-2\sin x}{x^4}$. E) $\frac{x\cos x+2\sin x}{x^3}$. Show Answer Correct Answer: C) $\frac{x\cos x-2\sin x}{x^3}$. 48. The reciprocal of sine is the ..... A) Cosine. B) Cotangent. C) Cosecant. D) Secant. Show Answer Correct Answer: C) Cosecant. 49. Which are the restrictions of the domain and range of the inverse function:$y=\sin^{-1}x$ A) D:$-\infty\le x\le\infty$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. B) D:$-1\le x\le1$ $0\le y\le\pi$. C) D:$-1\le x\le1$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. D) D:$-\infty\le x\le\infty$ $0\le y\le\pi$. Show Answer Correct Answer: C) D:$-1\le x\le1$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. 50. What is the amplitude of the function y=9cos3x A) -9. B) -3. C) 9. D) 3. Show Answer Correct Answer: C) 9. 51. What is the period of this function, in degrees?y = sin(4x) + 5 A) 180. B) 45. C) 90. D) 30. Show Answer Correct Answer: C) 90. 52. What is the relation between 1 radian and degrees? A) 360 degrees. B) 45 degrees. C) 90 degrees. D) 180 degrees. Show Answer Correct Answer: D) 180 degrees. 53. Find the sec $\left(\pi\right)$ A) $-1$. B) $Undefined$. C) $0$. D) $1$. Show Answer Correct Answer: A) $-1$. 54. Which of the following would be the general form of a complete sine function? A) $y=\sin\left(\pm bx\pm c\right)\pm d$. B) $y=\pm a\sin\left(\pm bx\pm c\right)\pm d$. C) $y=\pm a\sin\left(\pm bx\right)\pm d$. D) $y=\pm a\sin\left(\pm bx\pm c\right)$. Show Answer Correct Answer: B) $y=\pm a\sin\left(\pm bx\pm c\right)\pm d$. 55. The horizontal length required to complete one cycle is called ..... A) Cycle. B) Period. C) Horizontal shift. D) Amplitude. Show Answer Correct Answer: B) Period. 56. Based on your unit circle sin(0$^{o}$)= A) 1. B) -1. C) 1/2. D) 0. Show Answer Correct Answer: D) 0. 57. What is the value of $\csc\left(\frac{10\pi}{3}\right)$ A) $\frac{3\sqrt[]{2}}{2}$. B) $-\frac{2\sqrt[]{3}}{3}$. C) $-\frac{\sqrt[]{3}}{2}$. D) $-\frac{\sqrt[]{2}}{2}$. Show Answer Correct Answer: B) $-\frac{2\sqrt[]{3}}{3}$. 58. What is the formula for the period of tangent and cotangent? A) $T=\frac{\pi}{4}$. B) $T=\frac{2\pi}{4}$. C) $T=\frac{2\pi}{\left|b\right|}$. D) $T=\frac{\pi}{\left|b\right|}$. Show Answer Correct Answer: D) $T=\frac{\pi}{\left|b\right|}$. 59. Given the point (-4, -3) on the terminal side of the angle $\theta.$ $\theta?$ A) -3/5. B) -4/5. C) -5/4. D) 3/5. Show Answer Correct Answer: A) -3/5. 60. $\cos^{-1}\left(-1\right)=?$ A) $\frac{\pi}{2}$. B) 0. C) $\frac{3\pi}{2}$. D) $\pi$. Show Answer Correct Answer: D) $\pi$. ← 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 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