This quiz works best with JavaScript enabled. Home > Class 11 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the period of this function, in degrees?y = tan(4x) + 5 A) 180. B) 45. C) 90. D) 30. Show Answer Correct Answer: B) 45. 2. $\frac{\text{d}}{\text{d}y}\left(\frac{\sin^4\left(2x\right)}{2x}\right)$ A) $\frac{\sin^3\left(2x\right)\left(8x\cos\left(2x\right)-\sin\left(2x\right)\right)}{2x^2}$. B) $\frac{8x\cos\left(2x\right)-\sin^4\left(2x\right)}{2x^2}$. C) $\frac{8x\cos^3\left(2x\right)-\sin^4\left(2x\right)}{2x^2}$. D) $\frac{4x\cos\left(2x\right)-\sin^4\left(2x\right)}{2x^2}$. E) $\frac{4x\cos^3\left(2x\right)-\sin^4\left(2x\right)}{2x^2}$. Show Answer Correct Answer: A) $\frac{\sin^3\left(2x\right)\left(8x\cos\left(2x\right)-\sin\left(2x\right)\right)}{2x^2}$. 3. The midline 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: A) Acts as a dividing line for the function's range values. 4. $\frac{\text{d}}{\text{d}y}\left(2\cos^3\left(2x\right)-2\right)$ A) $-12\cos^2\left(2x\right)\sin\left(2x\right)$. B) $-6\cos^2\left(2x\right)\sin\left(2x\right)$. C) $-12\sin^2\left(2x\right)$. D) $-6\sin^2\left(2x\right)$. E) $-2\sin^2\left(2x\right)$. Show Answer Correct Answer: A) $-12\cos^2\left(2x\right)\sin\left(2x\right)$. 5. Which function is defined as the ratio of the sine of Theta to the cosine of Theta? A) Tangent. B) Cotangent. C) Secant. D) Cosecant. Show Answer Correct Answer: A) Tangent. 6. $\cos5A-\cos A$ A) $-2\cos3A\cos2A$. B) $-2\sin3A\sin2A$. C) $-2\sin3A\cos2A$. D) $2\sin2A\cos3A$. Show Answer Correct Answer: B) $-2\sin3A\sin2A$. 7. Are $\tan x^2$ $\left(\tan x\right)^2$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 8. Which of the following is an increasing function? A) $\tan^{-1}\left(x\right)$. B) $\sin^{-1}\left(x\right)$. C) $\cos^{-1}\left(x\right)$. D) $\sin\left(x\right)$. Show Answer Correct Answer: B) $\sin^{-1}\left(x\right)$. 9. Where does the graph of cosine begin? A) (0, 0). B) (0, 1). C) (0, Pi). D) (1, Pi). Show Answer Correct Answer: B) (0, 1). 10. Quadrant 4 A) All are positive. B) Tangent and cotangent are positive. C) Sine and cosecant are positive. D) Cosine and secant are positive. Show Answer Correct Answer: D) Cosine and secant are positive. 11. $\frac{\text{d}}{\text{d}y}\left(-3\cos x-4x^2\right)$ A) $3\sin x-8x$. B) $-3\sin x-8x$. C) $3\sin x-4x$. D) $3\sin x-12x^3$. E) $-3\sin x-4x$. Show Answer Correct Answer: A) $3\sin x-8x$. 12. Convierta 37$^\circ$ a radianes A) $\frac{37}{180}\pi$. B) $\frac{37}{60}\pi$. C) $\frac{31}{60}\pi\\rad$. D) $\frac{41}{60}\pi$. Show Answer Correct Answer: A) $\frac{37}{180}\pi$. 13. If $\sin x+\cos x=1, $ $\sin2x=$ A) 1. B) 1/2. C) 0. D) -1. Show Answer Correct Answer: C) 0. 14. Choose the rigth answery = 3 sin (7x)-2 A) $period\\frac{2}{7}\pi$. B) -undefined Amplitud 3 cycles 7 vertical shift-2. C) Undefined Amplitud 7 cycles 3 phase shift +2. D) Undefined Amplitud 3 cycles 7 phase shift +2. Show Answer Correct Answer: B) -undefined Amplitud 3 cycles 7 vertical shift-2. 15. What is the phase shift of $y=-2\sin\left(x+\frac{\pi}{2}\right)$ A) Left $\frac{\pi}{2}$. B) Right $\frac{\pi}{2}$. C) Up $\frac{\pi}{2}$. D) Down $\frac{\pi}{2}$. Show Answer Correct Answer: A) Left $\frac{\pi}{2}$. 16. What is the value of $\cos\left(\frac{7\pi}{6}\right)$ A) $\frac{\sqrt{3}}{3}$. B) $0$. C) $-\frac{\sqrt{3}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{\sqrt{3}}{2}$. 17. Which ratio is equal to $\tan x$ A) $\frac{1}{\cos x}$. B) $\frac{1}{\sin x}$. C) $\frac{\cos x}{\sin x}$. D) $\frac{\sin x}{\cos x}$. Show Answer Correct Answer: D) $\frac{\sin x}{\cos x}$. 18. Which trigonometric function is undefined when Theta is zero? A) Sine. B) Cosine. C) Secant. D) Cotangent. Show Answer Correct Answer: D) Cotangent. 19. What is the reciprocal of sine? A) Secant. B) Tangent. C) Cosecant. D) Cotangent. Show Answer Correct Answer: C) Cosecant. 20. Which of the following is NOT TRUE about inverse functions? A) Inverse functions are reflections of each other over the line y = x. B) You find the inverse by switching x and y in the equation. C) The domain of a function always becomes the domain of its inverse. D) The domain of a function always becomes the range of its inverse. Show Answer Correct Answer: C) The domain of a function always becomes the domain of its inverse. 21. Find arcsin 1 A) 90$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: A) 90$^\circ$. 22. Result-$\lim_{x\rightarrow0}\\frac{\sin ax}{bx}$ A) A. B) B. C) $\frac{b}{a}$. D) $\frac{a}{b}$. Show Answer Correct Answer: D) $\frac{a}{b}$. 23. Given that csc x = 41/9, calculate the value of cos x. A) 9/41. B) 40/41. C) 9/40. D) 40/9. Show Answer Correct Answer: B) 40/41. 24. You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be? A) 25 feet. B) 26 feet. C) 27 feet. D) 28 feet. Show Answer Correct Answer: C) 27 feet. 25. Given that $\theta$ $\sin\theta<0, \\cos\theta>0$ A) Quadrant I. B) Quadrant II. C) Quadrant III. D) Quadrant IV. Show Answer Correct Answer: C) Quadrant III. ← 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 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 10Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books