This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 21 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 21 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which of the following statement/s is/are TRUE?I. Secant function is an even function and its graph is symmetric with respect to the y-axis.II. Secant function neither has a maximum or a minimum value limit. A) Both statements are true. B) The first statement is true; the second statement is false. C) The first statement is false; the second statement is true. D) Both statements are false. Show Answer Correct Answer: A) Both statements are true. 2. Result-$\lim_{x\rightarrow0}\\frac{\tan x}{x}=$ A) 0. B) X. C) 1. D) 2. Show Answer Correct Answer: C) 1. 3. What is the amplitude of y=-3sin(7x)-2 A) 7. B) -2. C) 3. D) -3. Show Answer Correct Answer: C) 3. 4. $\sin\\frac{7\pi}{6}$ A) $\frac{1}{2}$. B) $-\frac{1}{2}$. C) $\frac{\sqrt{3}}{2}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: B) $-\frac{1}{2}$. 5. Which of the following statements are true?I. tan 135 =-tan 45II. tan 130 < tan 120III. cot145 > cot 165 A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: D) I and III. 6. The vertical asymptote of a trigonometric function ..... A) Acts as a dividing line for the function's range values. B) Is the value or values a trigonometric function approaches but never reaches. C) Is always at y = 0. D) Is always at x = 0. E) None of these. Show Answer Correct Answer: B) Is the value or values a trigonometric function approaches but never reaches. 7. If you are given the hypotenuse and an adjacent leg, which trigonometric function should you use? A) Sine. B) Cosine. C) Tangent. D) Cotangent. Show Answer Correct Answer: B) Cosine. 8. What is the sine of $\frac{8\pi}{3}$ A) $\frac{\sqrt{3}}{2}$. B) -$\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) -$\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{2}$. 9. **What is the radian equivalent of-460 degrees? A) $\frac{9\pi}{23}$. B) $\frac{23\pi}{9}$. C) $-\frac{23\pi}{9}$. D) $-\frac{9\pi}{23}$. Show Answer Correct Answer: C) $-\frac{23\pi}{9}$. 10. What is the 4 word transformation for the $\pi$ A) Vertical shift up Pi. B) Vertical shift down Pi. C) Horizontal shift left Pi. D) Horizontal shift right Pi. Show Answer Correct Answer: C) Horizontal shift left Pi. 11. Which one is one of the easy ways to learn trigonometric ratios? A) Sah Coh Toa. B) Soh Cah Toa. C) Soh Cah Tao. D) Soh Ceh Toa. Show Answer Correct Answer: B) Soh Cah Toa. 12. $\tan\\frac{3}{2}\pi$ A) 1. B) 0. C) Undefined. D) -1. Show Answer Correct Answer: C) Undefined. 13. Find $\frac{dy}{dx}$ $y=\ln\left(\frac{2x+1}{1-2x}\right)$ A) $\frac{2}{2x+1}-\frac{2}{1-2x}$. B) $\frac{2}{2x+1}+\frac{2}{1-2x}$. C) $\frac{2}{2x-1}+\frac{2}{1-2x}$. D) $\frac{2}{2x+1}+\frac{2}{1+2x}$. Show Answer Correct Answer: B) $\frac{2}{2x+1}+\frac{2}{1-2x}$. 14. What is the value of $\cos\left(\frac{2\pi}{3}\right)$ A) $\frac{\sqrt{2}}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $-\frac{1}{2}$. D) $\frac{2\sqrt{3}}{3}$. Show Answer Correct Answer: C) $-\frac{1}{2}$. 15. Find the vertical shift. $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) Right $\frac{\pi}{2}$. B) Left $\frac{\pi}{2}$. C) Up 1. D) Down 1. Show Answer Correct Answer: D) Down 1. 16. What is the period of the basic secant function? A) $\pi$. B) $2\pi$. C) $\frac{\pi}{2}$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: B) $2\pi$. 17. $\frac{\text{d}}{\text{d}y}\left(\tan\left(\frac{x^3}{2}+\frac{\pi}{6}\right)\right)$ A) $\frac{3}{2}x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. B) $\frac{3}{2}x^2\sec\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. C) $2x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. D) $2x^2\sec\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. E) $x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. Show Answer Correct Answer: A) $\frac{3}{2}x^2\sec^2\left(\frac{x^3}{2}+\frac{\pi}{6}\right)$. 18. If sin x = cos x, what is the value of x? A) 45$^\circ$. B) 90$^\circ$. C) 30$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: A) 45$^\circ$. 19. Solve the equation:$4\tan^{-1}\left(x\right)=-\pi$ A) $\sqrt{3}$. B) $\frac{\sqrt{3}}{3}$. C) $1$. D) $-1$. Show Answer Correct Answer: D) $-1$. 20. If sin x = 8/17, determine the value of cos x. A) 15/8. B) 15/17. C) 8/15. D) 17/15. Show Answer Correct Answer: B) 15/17. 21. Pythagoras' theorem states that A) Hyp$^{2 }$= side$^{2 }$+ side$^{2}$. B) Hyp = side + side. C) Hyp$^{2}$ = side + side. D) Hyp = side$^{2}$ + side$^{2}$. Show Answer Correct Answer: A) Hyp$^{2 }$= side$^{2 }$+ side$^{2}$. 22. Find the magnitude of the vector <-2, 1>. A) 5. B) 2.236. C) 1. D) 2.646. Show Answer Correct Answer: B) 2.236. 23. What is the reciprocal of the sine function? A) Cosecant. B) Cosine. C) Secant. D) Cotangent. Show Answer Correct Answer: A) Cosecant. 24. What is the phase shift (C value) if the first maximum occurs at x = 90? A) -90. B) 0. C) 90. D) 180. Show Answer Correct Answer: C) 90. 25. The height of a rider on a ferris wheel in motion is modeled by the function $h\left(t\right)=30\sin\left(t\right)+35$ A) 61 meters. B) 63 meters. C) 65 meters. D) 70 meters. Show Answer Correct Answer: B) 63 meters. ← PreviousNext →Related 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 8Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books