This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 6 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\frac{\text{d}}{\text{d}y}\left(\cot x\right)$ A) $\csc x$. B) $-\csc^2x$. C) $\csc^2x$. D) $\frac{1}{\cot x}$. E) $\cot^{-1}x$. Show Answer Correct Answer: B) $-\csc^2x$. 2. Secant is the reciprocal of what function? A) Cosine. B) Sine. C) Cosecant. D) Tangent. Show Answer Correct Answer: A) Cosine. 3. Tan(sin$^{-1}$(-1/2)) A) $\frac{-1}{\sqrt{3}}$. B) $-\sqrt{3}$. C) $\sqrt{3}$. D) $\frac{1}{\sqrt{3}}$. Show Answer Correct Answer: A) $\frac{-1}{\sqrt{3}}$. 4. (3, -3) is a point on the terminal side of an angle. Find the exact value of $\csc\theta$ A) $\frac{\sqrt{2}}{2}$. B) $-\frac{\sqrt{2}}{2}$. C) -1. D) $-\sqrt{2}$. Show Answer Correct Answer: D) $-\sqrt{2}$. 5. Cotangent is the reciprocal of what function? A) Tangent. B) Cosine. C) Sine. D) Cosecant. Show Answer Correct Answer: A) Tangent. 6. Pythagoras' theorem is used when A) 3 sides are involved. B) 1 angle 2 sides are involved. C) 2 angles 1 side are involved. D) 3 angles are involved. Show Answer Correct Answer: A) 3 sides are involved. 7. The Amplitude is always a positive number. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 8. Which of the following parent functions do NOT have a period of $2\pi$ A) Y = sin x. B) Y = tan x. C) Y = csc x. D) None of the above. Show Answer Correct Answer: B) Y = tan x. 9. Which trigonometric ratio is correct? A) TanA= opp/adj. B) SinA= adj/opp. C) CosA= opp/hyp. D) SinA= opp/adj. Show Answer Correct Answer: A) TanA= opp/adj. 10. According to the text, what is the value of sin C + sin D? A) Sin C + sin D + 1. B) 2 sin((C + D)/2) cos((C-D)/2). C) Sin C cos D. D) Sin C-sin D. Show Answer Correct Answer: B) 2 sin((C + D)/2) cos((C-D)/2). 11. $f\left(x\right)=-2\cos2\left(x+\frac{5\pi}{4}\right)+3$ A) 2. B) $\pi$. C) -2. D) 3. Show Answer Correct Answer: B) $\pi$. 12. Find arccos $\frac{1}{2}$ A) 90$^\circ$. B) 0$^\circ$. C) 45$^\circ$. D) 60$^\circ$. E) 30$^\circ$. Show Answer Correct Answer: D) 60$^\circ$. 13. X-intercepts can also be called ..... ? ..... A) Zeros. B) Period. C) Asymptotes. D) Amplitude. Show Answer Correct Answer: A) Zeros. 14. The formal combined name of sine and cosine graphs is ..... A) Perpetual graphs. B) Cosinoidal graphs. C) Wavy graphs. D) Sinusoidal graphs. Show Answer Correct Answer: D) Sinusoidal graphs. 15. Differentiate f(x) = sin 2x-5 cos 4x A) F'(x) = cos 2x + 5 sin 4x. B) F'(x) = 2 cos 2x + 20 sin 4x. C) F'(x) = 2 cos 2x-20 sin 4x. D) F'(x) = 2cos 2x + 20 sin x. Show Answer Correct Answer: B) F'(x) = 2 cos 2x + 20 sin 4x. 16. In what type of triangle do we use Trigonometry? A) Any triangle. B) Isosceles triangle. C) Right angled triangle. D) Scalene triangle. Show Answer Correct Answer: C) Right angled triangle. 17. What is the maximum value that the sine function can attain? A) Infinity. B) 0. C) 1. D) -1. Show Answer Correct Answer: C) 1. 18. Solve the equation $2\operatorname{cosec}^2\theta=9\cot\theta-7$ $0\le\theta\le360$ A) 33.69, 213.69, 18.43, 198.43. B) 18.43, 33.69, 198.43. C) 16.43, 30.69, 198.43, 213.69. D) 18.43, 33.69. Show Answer Correct Answer: A) 33.69, 213.69, 18.43, 198.43. 19. Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ A) $y=6\sin\\frac{1}{4}\theta$. B) $y=6\sin8\left(\theta-1\right)$. C) $y=6\sin8\theta$. D) $y=6\sin\theta$. Show Answer Correct Answer: C) $y=6\sin8\theta$. 20. Based on your unit circle sin(90$^{o}$)= A) 1. B) -1. C) 1/2. D) 0. Show Answer Correct Answer: A) 1. 21. What is the reference angle for $\frac{5\pi}{4}$ A) $\frac{\pi}{2}$. B) $\frac{\pi}{4}$. C) $\frac{3\pi}{4}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: B) $\frac{\pi}{4}$. 22. What is the COSINE ratio of any angle in a right triangle A) $\frac{\text{adjacent}}{\text{hypotenuse}}$. B) $\frac{\text{hypotenuse}}{\text{opposite}}$. C) $\frac{\text{opposite}}{hypotenuse}$. D) $\frac{\text{opposite}}{\text{adjacent}}$. Show Answer Correct Answer: A) $\frac{\text{adjacent}}{\text{hypotenuse}}$. 23. What is the value of the trigonometric function $\csc\\frac{5\pi}{3}$ A) $-\sqrt[]{3}$. B) $-\frac{2\\sqrt[]{3}}{2}$. C) $-\frac{2\\sqrt[]{3}}{3}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{2\\sqrt[]{3}}{3}$. 24. Given that $\theta$ $\tan\theta<0, \\cos\theta<0$ A) Quadrant IV. B) Quadrant II. C) Quadrant I. D) Quadrant III. Show Answer Correct Answer: B) Quadrant II. 25. What is the reference angle for 455 degrees? A) 65 degrees. B) 85 degrees. C) 35 degrees. D) 95 degrees. Show Answer Correct Answer: B) 85 degrees. 26. What is the global minimum value of $y=4\sin\left(3x+2\pi\right)-6$ A) $-4$. B) $-10$. C) $4$. D) $-2$. Show Answer Correct Answer: B) $-10$. 27. Which trigonometric function is defined as adj/hyp in a right triangle? A) Cosine. B) Secant. C) Tangent. D) Sine. Show Answer Correct Answer: A) Cosine. 28. A trig function has an amplitude of 4 and a minimum value of 5. What is the maximum value? A) 13. B) 7. C) 9. D) 11. Show Answer Correct Answer: A) 13. 29. What is the period of the basic cosine function? A) $\frac{\pi}{4}$. B) $\frac{\pi}{2}$. C) $2\pi$. D) $\pi$. Show Answer Correct Answer: C) $2\pi$. 30. The period of $y=a\sin\left(bx\right)+d$ A) A. B) B. C) D. D) None of the above. Show Answer Correct Answer: D) None of the above. 31. What is the period of this equation?y =-5sin(3x) A) 2pi/3. B) 2pi/5. C) -5. D) 3. Show Answer Correct Answer: A) 2pi/3. 32. The secant graph has a reflection of which other trigonometric graph? A) Sine. B) Cotangent. C) Tangent. D) Cosine. Show Answer Correct Answer: D) Cosine. 33. Find the csc $\left(\frac{5\pi}{4}\right)$ A) $-\frac{1}{2}$. B) $0$. C) $-\frac{2\sqrt[]{3}}{3}$. D) $-\sqrt[]{2}$. Show Answer Correct Answer: D) $-\sqrt[]{2}$. 34. A . y-axis is also called Ordinate.B . x-axis is also called Abscissa. A) A is true but B is false. B) B is true but A is false. C) Both A and B are false. D) Both A and B are true. Show Answer Correct Answer: D) Both A and B are true. 35. Find the exact value of $\tan^{-1}\left(\tan\\frac{3\pi}{4}\right)$ A) $\frac{\pi}{4}$. B) $-\frac{\pi}{4}$. C) $\frac{\pi}{6}$. D) $-\frac{\pi}{3}$. Show Answer Correct Answer: B) $-\frac{\pi}{4}$. 36. Is sine an even or odd function? A) Even. B) Odd. C) All the above. D) None of the above. Show Answer Correct Answer: B) Odd. 37. What does cos(0)=? A) Undefined. B) 0. C) 1. D) -1. Show Answer Correct Answer: C) 1. 38. $\csc\left(\frac{9\pi}{4}\right)=$ A) $-2$. B) $2$. C) $-\sqrt{2}$. D) $\sqrt{2}$. Show Answer Correct Answer: D) $\sqrt{2}$. 39. $\frac{\text{d}}{\text{d}y}\left(2\sin x+x^3\right)$ A) $2\cos x+3x^2$. B) $2\cos x+4x^4$. C) $2\cos x+2x^2$. D) $-2\cos x+3x^2$. E) $-2\cos x+2x^2$. Show Answer Correct Answer: A) $2\cos x+3x^2$. 40. If csc x = 13/5, what is the value of cot x? A) 5/12. B) 13/5. C) 12/13. D) 12/5. Show Answer Correct Answer: D) 12/5. 41. There exists a special right angled triangle whose sides are 3cm, 4cm and ..... ? A) 13cm. B) 6cm. C) 7cm. D) 5cm. Show Answer Correct Answer: D) 5cm. 42. What is the cosine of $\frac{3\pi}{2}$ A) 1. B) -1. C) $\frac{1}{2}$. D) 0. Show Answer Correct Answer: D) 0. 43. $f\left(x\right)=2\sec2\left(x+\frac{3\pi}{4}\right)+1$ A) Left $\frac{3\pi}{4}$. B) Right $\frac{3\pi}{4}$. C) Up 1. D) Down 1. Show Answer Correct Answer: A) Left $\frac{3\pi}{4}$. 44. Which expression is equivalent to the trigonometric expression $\cot\left(\theta\right)\cdot\sec\left(\theta\right)$ A) $\tan\left(\theta\right)$. B) $1$. C) $\sec\left(\theta\right)$. D) $\csc\left(\theta\right)$. Show Answer Correct Answer: D) $\csc\left(\theta\right)$. 45. $\sin\left(\frac{13\pi}{3}\right)=$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{1}{2}$. C) $-\frac{\sqrt{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{2}$. 46. Which parent functions include the point (0, 1)? A) Sine and cosecant. B) Cosine and secant. C) Cosine, secant, and tangent. D) Sine, cosecant, and cotangent. Show Answer Correct Answer: B) Cosine and secant. 47. Y= sin$^{2}$x find y' A) 2cos x. B) 2(sin x)(cos x). C) 2sin x. D) 2x(cos x). Show Answer Correct Answer: B) 2(sin x)(cos x). 48. $y=3\tan\left(Bx-\frac{\pi}{4}\right)+1$ A) 1/2. B) 1. C) 3. D) 2. Show Answer Correct Answer: A) 1/2. 49. Given $\tan(\theta) = \frac{7}{24}$ $\cot(\theta)$ A) $\frac{7}{25}$. B) $\frac{24}{7}$. C) $\frac{7}{24}$. D) $\frac{25}{7}$. Show Answer Correct Answer: B) $\frac{24}{7}$. 50. What does TAN represent? A) Tanning Salon. B) Tangent. C) Texas Association of Narcissists. D) None of the above. Show Answer Correct Answer: B) Tangent. 51. A ..... function is one that has a pattern that repeats itself over and over again. A) Translated. B) Stretch-shrink. C) Periodic. D) Reflected. Show Answer Correct Answer: C) Periodic. 52. What shift is happening in the function y=1/2sin3(x+4) A) Left 4. B) Right 4. C) Lef. D) Up 4. Show Answer Correct Answer: A) Left 4. 53. Cos (90$^\circ$ + x) = A) -sin x. B) Cos x. C) Sin x. D) -cos x. Show Answer Correct Answer: A) -sin x. 54. What is the definition for sine (sin)? A) Y/r. B) Y/x. C) X/y. D) X/r. Show Answer Correct Answer: A) Y/r. 55. $\frac{d}{dx}\left(\cos x\right)=$ A) $-\sec x$. B) $-\sin x$. C) $\sin x$. D) $\sec x$. Show Answer Correct Answer: B) $-\sin x$. 56. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\cot\left(\cos^{-1}\left(-\frac{84}{85}\right)\right)=R$ $R$ A) $-\frac{84}{13}$. B) -1384 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{84}{13}$. 57. When graphing a Tangent phase shift (+/-C), the shift applies to what part of the graph? A) The horizontal axis. B) The center point. C) The left most asymptote. D) The right most asymptote. Show Answer Correct Answer: B) The center point. 58. Give the y-intercept of cosine. A) 0. B) 1. C) -1. D) None. Show Answer Correct Answer: B) 1. 59. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\csc\left(\tan^{-1}\left(-\frac{60}{11}\right)\right)=R$ $R$ A) $-\frac{61}{60}$. B) -6061 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{61}{60}$. 60. For the function y = |3sin x-2|, it has A) Maximum value of 1minimum value of-5. B) Maximum value of 5minimum value of 0. C) Maximum value of 1minimum value of-2. D) Maximum value of 3minimum value of-2. Show Answer Correct Answer: B) Maximum value of 5minimum value of 0. ← 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 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