This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 8 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How do sine, cosine, and tangent tell us about an angle? A) They describe the angle measure in terms of the ratio of its corresponding sides. B) They tell us its measure in relationship to the other angles in the triangle. C) We can only use them if we know all side lengths. D) They describe the angle measure in terms of the product of its corresponding sides. Show Answer Correct Answer: A) They describe the angle measure in terms of the ratio of its corresponding sides. 2. Trigonometry is used for A) Measuring a square. B) Measuring the diagnol of quadriletral. C) Measuring sides of a triangle(right angled). D) Measuring the diameter and radiusof circle. Show Answer Correct Answer: C) Measuring sides of a triangle(right angled). 3. $3\left(\csc^2x-\cot^2x\right)$ A) 0. B) 1. C) 2. D) 3. Show Answer Correct Answer: D) 3. 4. If a point on the terminal side of an angle in standard position is $(-5, 12)$ $\sin(\theta)$ A) $\frac{12}{13}$. B) $-\frac{12}{13}$. C) $\frac{5}{13}$. D) $-\frac{5}{13}$. Show Answer Correct Answer: A) $\frac{12}{13}$. 5. Sine and cosine are periodic functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. Quadrant 2 A) Sine and cosecant are positive. B) All are positive. C) Tangent and cotangent are positive. D) Cosine and secant are positive. Show Answer Correct Answer: A) Sine and cosecant are positive. 7. If f(x) = g(u) and u = u(x) then A) F '(x) = g '(u). B) F '(x) = g '(u) . u '(x). C) F'(x) = u '(x). D) None of the above. Show Answer Correct Answer: B) F '(x) = g '(u) . u '(x). 8. What are the 3 basic trig functions? A) Sine, cosine, and cotangent. B) Sine, cotangent, and cosecant. C) Sine, cosine, and tangent. D) Cosecant, cosine, and cotangent. Show Answer Correct Answer: C) Sine, cosine, and tangent. 9. Find $\frac{dy}{dx}$ $y=\tan^4\left(2x+1\right)$ A) $8\tan^4\left(2x+1\right)\sec^2\left(2x+1\right)$. B) $2\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. C) $4\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. D) $8\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. Show Answer Correct Answer: D) $8\tan^3\left(2x+1\right)\sec^2\left(2x+1\right)$. 10. According to the Pythagorean theorem, what does the sum of the squares of sine and cosine of Theta equal? A) 2. B) 1. C) 0. D) Theta. Show Answer Correct Answer: B) 1. 11. The minute hand of a watch is 1.5 cm long. How far does its tip move in 40 minutes? (Use pi = 3.14). A) 6.28. B) 5.28. C) 9.28. D) None. Show Answer Correct Answer: A) 6.28. 12. WHICH OF THE FOLLOWING APPLIES THE BEST USE OF TRIGONOMETRY? A) FISHERIES AND AQUATICS. B) FOOD SERVICES AND PHARMACIUTICALS. C) ENGINEERING AND ARHITECTURE. D) NETWORKING AND VIDEO GAMING. Show Answer Correct Answer: C) ENGINEERING AND ARHITECTURE. 13. What type of symmetry does an even function have? A) Reflection. B) Rotation. C) All the above. D) None of the above. Show Answer Correct Answer: A) Reflection. 14. What operation allows us to verify if functions are inverses? A) Multiplying. B) Dividing. C) Adding. D) Composing. Show Answer Correct Answer: D) Composing. 15. $Evaluate\\sin\left(270-\theta\right)$ A) $\sin\theta$. B) $-\cos\\theta$. C) $-\sin\theta$. D) $\cos\theta$. Show Answer Correct Answer: B) $-\cos\\theta$. 16. Which of the following statements are true?I. In 2$^{nd}$ quadrant, cotx is decreasing.II. In 1$^{st}$ quadrant, cosx is increasing. III. In 2$^{nd}$ quadrant, sinx is decreasing. A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: D) I and III. 17. Which trigonometric graphs have a range of [-1, 1]? A) Sine only. B) Secant and cosecant. C) Sine and cosine. D) Tangent and cotangent. E) Cosine only. Show Answer Correct Answer: C) Sine and cosine. 18. The parent graph of the tangent function has what feature located at $\frac{\pi}{2}$ A) Vertical asymptote. B) Maximum value. C) X-intercept. D) Minimum value. Show Answer Correct Answer: A) Vertical asymptote. 19. 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) $9\sin^2x-3$. 20. What is the period of $y=\tan x$ A) $\pi$. B) $2\pi$. C) $\frac{\pi}{2}$. D) $4$. Show Answer Correct Answer: A) $\pi$. 21. Identify the domain of $f\left(x\right)=\cos^{-1}\left(2x\right)$ A) $-2\le x\le2$. B) $-\frac{1}{2}\le x\le\frac{1}{2}$. C) $-1\le x\le1$ $-1 D) $-\infty Show Answer Correct Answer: B) $-\frac{1}{2}\le x\le\frac{1}{2}$. 22. Find arccos 1 A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 90$^\circ$. E) 45$^\circ$. Show Answer Correct Answer: A) 0$^\circ$. 23. What is the amplitude of $y=a\sin\left(b\theta+c\right)+d$ A) $a$. B) $y=d$. C) $\left|a\right|$. D) $\frac{2\pi}{\left|b\right|}$. Show Answer Correct Answer: D) $\frac{2\pi}{\left|b\right|}$. 24. $\cos\left(\frac{5\pi}{6}\right)=$ A) $\frac{\sqrt[]{3}}{2}$. B) $\frac{1}{2}$. C) $-\frac{\sqrt[]{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $-\frac{\sqrt[]{3}}{2}$. 25. If cot x =-5/12, x lies in second quadrant, find the values sin x A) 12/13. B) -12/13. C) 5/13. D) -5/13. Show Answer Correct Answer: A) 12/13. ← 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 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