This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 20 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 20 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Quadrant 1 A) All are positive. B) Sine and cosecant are positive. C) Tangent and cotangent are positive. D) Cosine and secant are positive. Show Answer Correct Answer: A) All are positive. 2. What is the radius of the unit circle used to define sine and cosine? A) 1. B) 2. C) 0.5. D) 10. Show Answer Correct Answer: A) 1. 3. Which of the following is the correct expression for sin(A-B)? A) Sin A-sin B. B) Sin A cos B-cos A sin B. C) Sin A sin B. D) Sin A + sin B. Show Answer Correct Answer: B) Sin A cos B-cos A sin B. 4. What is the period of $y=4\cos\left(2x\right)+1$ A) 4. B) 2. C) $\pi$. D) $2\pi$. E) 1. Show Answer Correct Answer: C) $\pi$. 5. By changing the expression in terms of $\cos x$ $\sin x\tan x=3\cos x$ $0^0\le x\le360^0$ A) 30$^{0}$, 150$^{0}$, 210$^{0}$, 330$^{0}$. B) 60$^{0}$, 120$^{0}$, 240$^{0}$, 300$^{0}$. C) 60$^{0}$, 120$^{0}$, 210$^{0}$, 300$^{0}$. D) None of the above. Show Answer Correct Answer: B) 60$^{0}$, 120$^{0}$, 240$^{0}$, 300$^{0}$. 6. $\lim_{x\rightarrow0}\\frac{1-\cos\left(-x\right)}{3x}$ A) -3. B) $-\frac{1}{3}$. C) $0$. D) $\frac{1}{3}$. E) 3. Show Answer Correct Answer: C) $0$. 7. When a trig function is undefined there will be a ..... that passes through that x-value. A) Point. B) Vertical asymptote. C) Horizontal asymptote. D) Blank. Show Answer Correct Answer: B) Vertical asymptote. 8. What is the missing number?Sin(70) = Cos ( ) A) 20. B) 25. C) 30. D) 35. Show Answer Correct Answer: A) 20. 9. Find arccos $\frac{\sqrt[]{2}}{2}$ A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 90$^\circ$. E) 45$^\circ$. Show Answer Correct Answer: E) 45$^\circ$. 10. Cos (2n $\pi$ A) Sin 2 $\pi$. B) Cosx. C) Cos $\pi$. D) 1x. Show Answer Correct Answer: B) Cosx. 11. $\cot\left(\frac{\pi}{2}\right)=$ A) 0. B) 1. C) $-1$. D) Undefined. Show Answer Correct Answer: A) 0. 12. $\sec\left(\frac{5\pi}{3}\right)=$ A) $\frac{2}{\sqrt{3}}$. B) -2. C) 2. D) $-\frac{2}{\sqrt{3}}$. Show Answer Correct Answer: C) 2. 13. What is the B value if the new period of the graph is 720 degrees? A) 360. B) 2. C) 1. D) 0.5. Show Answer Correct Answer: D) 0.5. 14. It is given that cos $\beta$ $\frac{3}{5}$ $\beta$ $\beta$ $\left(-\beta\right)$ A) $\frac{27}{20}$. B) $\frac{9}{20}$. C) $\frac{3}{20}$. D) $\frac{29}{15}$. Show Answer Correct Answer: A) $\frac{27}{20}$. 15. Write an equation for the cosine function with an amplitude of 3 and vertical shift up 5. A) Y = 3+5cos(x). B) Y = 5+3cos(x). C) Y =-5 +3cos(x). D) Y = 3-5cos(x). Show Answer Correct Answer: B) Y = 5+3cos(x). 16. $\cot\left(x-y\right)=$ A) $\frac{\left(\cot x+\cot y\right)}{1-\cot x\cot y}$. B) $\frac{\left(\cot x\cot y-1\right)}{\cot y+\cot x}$. C) $\frac{\left(\cot x\cot y+1\right)}{\cot x-\cot y}$. D) $\frac{\left(\cot x\cot y+1\right)}{\cot y-\cot x}$. Show Answer Correct Answer: D) $\frac{\left(\cot x\cot y+1\right)}{\cot y-\cot x}$. 17. Given $f\left(x\right)=\cos^5\left(2x^3\right)$ $f'\left(x\right)$ A) $-30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. B) $-5x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. C) $5x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. D) $30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. Show Answer Correct Answer: A) $-30x^2\cos^4\left(2x^3\right)\sin\left(2x^3\right)$. 18. What does the prefix 'Co' in cotangent and cosecant stand for? A) None of the above. B) Connected. C) Cooperative. D) Complementary. Show Answer Correct Answer: D) Complementary. 19. Cot THETA is A) Tan. B) Cos/sin. C) 1/cosec. D) 1/tan * cos/sin. Show Answer Correct Answer: B) Cos/sin. 20. Cos 3x = A) $4\cos^3x-3\cos x$. B) $4\cos^{ }x-3\cos x$. C) $4\sin^3x-3\cos x$. D) $4\sin^3x-3\sin x$. Show Answer Correct Answer: A) $4\cos^3x-3\cos x$. 21. What is the frequency of a function with period 2? A) $\pi$. B) $2\pi$. C) 1. D) 2. Show Answer Correct Answer: A) $\pi$. 22. Given the Csc(x) = 1, then the Sin(x) =? A) 1. B) -1. C) 0. D) Undefined. Show Answer Correct Answer: A) 1. 23. $\csc\left(\pi\right)=$ A) -2. B) $-\frac{2}{\sqrt{2}}$. C) 0. D) Undefined. Show Answer Correct Answer: D) Undefined. 24. What is the value of $\tan\left(\frac{4\pi}{3}\right)$ A) $-\sqrt{3}$. B) $\frac{\sqrt{3}}{3}$. C) $-2$. D) $\sqrt{3}$. Show Answer Correct Answer: D) $\sqrt{3}$. 25. Which of the following espressions are equivalent?I. $\frac{\cos^2\theta}{\cot^2\theta}$ $\sin^2\theta$ $1-\cos^2\theta$ A) I and II only. B) I and III only. C) II and III only. D) I, II, and III. Show Answer Correct Answer: D) I, II, and 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 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