This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Find the exact value of $\cos\frac{5\pi}{3}$ A) $-\frac{\sqrt{3}}{3}$. B) Undefined. C) $\frac{1}{2}$. D) $-\sqrt{3}$. Show Answer Correct Answer: C) $\frac{1}{2}$. 2. Which of the following affects the midline? $y=a\sin\left(b\left(x-h\right)\right)+k$ A) A. B) B. C) H. D) K. Show Answer Correct Answer: D) K. 3. 2 cos x cos y = A) Cos ( x+y)-cos ( x-y). B) Cos ( x+y) +cos ( x-y). C) Sin ( x+y)-sin ( x-y). D) Sin ( x+y) + sin ( x-y). Show Answer Correct Answer: B) Cos ( x+y) +cos ( x-y). 4. Suppose that $\theta$ $\theta$ $\theta$ $\theta$ A) $-\frac{5}{13}$. B) $-\frac{12}{13}$. C) $\frac{12}{13}$. D) $\frac{5}{13}$. Show Answer Correct Answer: C) $\frac{12}{13}$. 5. Value of cos$^{-1}$(cos 680$^{0}$) is ..... A) 20$^{0}$. B) 40$^{0}$. C) 60$^{0}$. D) 80$^{0}$. Show Answer Correct Answer: C) 60$^{0}$. 6. Points of discontinuity can also be called ..... ? ..... A) Amplitude. B) Period. C) Zeros. D) Asymptotes. Show Answer Correct Answer: D) Asymptotes. 7. Find the cos $\left(2\pi\right)$ A) $-1$. B) $-\frac{\sqrt[]{2}}{2}$. C) $0$. D) $1$. Show Answer Correct Answer: D) $1$. 8. Find the exact value of $\sec\left(\tan^{-1}\left(\frac{\sqrt{3}}{3}\right)\right)$ A) $\sqrt{2}$. B) $2$. C) $\frac{2\sqrt{3}}{3}$. D) Undefined. Show Answer Correct Answer: C) $\frac{2\sqrt{3}}{3}$. 9. What is the trigonometric function for cot x? A) 1/cos x. B) 1/sin x. C) Sin x/cos x. D) Cos x/sin x. Show Answer Correct Answer: D) Cos x/sin x. 10. $\frac{d}{dx}\left(\frac{\sin x}{x^2}\right)=$ A) $\frac{\cos x}{2x}$. B) $\frac{x\cos x-2\sin x}{x^3}$. C) $\frac{2\cos x-x\sin x}{x^3}$. D) $\frac{x^2\cos x+2\sin x}{x^4}$. Show Answer Correct Answer: B) $\frac{x\cos x-2\sin x}{x^3}$. 11. What does the amplitude (A value) represent in the context of the graph? A) Period of the function. B) Shift along the y-axis. C) Shift along the x-axis. D) Distance from the midline to the maximum. Show Answer Correct Answer: D) Distance from the midline to the maximum. 12. What leg is considered the hypotenuse? A) Any side. B) The side opposite the smallest angle. C) The side opposite the right angle. D) The side opposite the shortest leg. Show Answer Correct Answer: C) The side opposite the right angle. 13. The cosine of an angle can be calculated by which expression? A) $\frac{hypotenuse}{adjacent}$. B) $\frac{opposite}{adjacent}$. C) $\frac{adjacent}{hypotenuse}$. D) $\frac{adjacent}{opposite}$. Show Answer Correct Answer: C) $\frac{adjacent}{hypotenuse}$. 14. $\lim_{x\rightarrow0}\\frac{\sin^25x}{2x^2}$ A) $\frac{25}{4}$. B) $\frac{25}{2}$. C) $\frac{5}{2}$. D) $\frac{5}{4}$. Show Answer Correct Answer: B) $\frac{25}{2}$. 15. WHICH OF THE FOLLOWING BEST DESCRIBES TRIGONOMETRY? A) STUDIES ABOUT SHAPES. B) STUDIES ABOUT MEASUREMENT. C) STUDIES ABOUT POLYGONS. D) STUDIES ABOUT TRIANGLES. Show Answer Correct Answer: D) STUDIES ABOUT TRIANGLES. 16. What is a vertical asymptote of $y=2\\cot\left(2x\right)+2$ A) X = 0. B) X = pi/4. C) X = pi/6. D) None of these. Show Answer Correct Answer: A) X = 0. 17. If you are given the two sides that are not the hypotenuse, which trigonometric function should you use? A) Sine. B) Cosine. C) Tangent. D) Cotangent. Show Answer Correct Answer: C) Tangent. 18. Tan(sin$^{-1}$(1))= A) Undefined. B) 0. C) 1/2. D) 1. Show Answer Correct Answer: A) Undefined. 19. If A= $\left[a_{ij}\right]$ $a_{ij}=\frac{\left(-i+2j\right)^2}{5}$ $a_{23}$ A) 1/5. B) 2/5. C) 9/5. D) 16/5. Show Answer Correct Answer: D) 16/5. 20. Amplitude of cosine function is ..... A) -1. B) None. C) 1. D) None of the above. Show Answer Correct Answer: C) 1. 21. $\left(3B\right)\\lim_{x\rightarrow0}\\frac{x+x\cos x}{\sin x\\cos x}$ A) 2. B) 1. C) 0. D) -1. Show Answer Correct Answer: A) 2. 22. $\frac{\text{d}}{\text{d}y}\left(\tan x\right)$ A) $\sec^2x$. B) $-\sec^2x$. C) $\tan^{-1}x$. D) $\frac{1}{\tan x}$. E) $\sec x$. Show Answer Correct Answer: A) $\sec^2x$. 23. What trigonometric identity is derived from the right triangle formed by tangent and secant? A) Cosecant squared Theta equals 1 plus Cotangent squared Theta. B) Cosine squared Theta equals 1 minus Sine squared Theta. C) Secant squared Theta equals 1 plus Tangent squared Theta. D) Sine squared Theta equals 1. Show Answer Correct Answer: C) Secant squared Theta equals 1 plus Tangent squared Theta. 24. What is the result of sin 90$^\circ$ + cos ( 180$^{0}$)-tan 45$^{0}$ = A) -2. B) -1. C) 0. D) 1. E) 2. Show Answer Correct Answer: B) -1. 25. What is the tangent of $\pi$ A) 0. B) 1. C) -1. D) Undefined. Show Answer Correct Answer: A) 0. ← 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 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