This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\lim_{x\rightarrow0}\\frac{\sin x}{x}=$ A) X. B) 1. C) 0. D) -1. Show Answer Correct Answer: B) 1. 2. Tom is riding a Ferris wheel with a radius of 45 meters and a center 51 meters off the ground. Assume Tom starts at the right-hand side of the Ferris wheel and it rotates counter-clockwise. Find Tom's height after the wheel rotates $113^{\circ}$ A) About 92 meters. B) About 47 meters. C) About 41 meters. D) About-4 meters. Show Answer Correct Answer: A) About 92 meters. 3. $\cos x\cos y+\sin x\sin y=$ A) $\sin\left(x+y\right)$. B) $\cos\left(x+y\right)$. C) $\cos\left(x-y\right)$. D) $\sin\left(x-y\right)$. Show Answer Correct Answer: C) $\cos\left(x-y\right)$. 4. The value of tan 3 $\pi$ A) 0. B) 2. C) Not defined. D) Both a and b. Show Answer Correct Answer: C) Not defined. 5. What is the cosine of $\frac{4\pi}{3}$ A) -$\frac{1}{2}$. B) $\frac{\sqrt{3}}{2}$. C) -$\frac{\sqrt{3}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: A) -$\frac{1}{2}$. 6. Fill in the blank ..... SOH ..... TOA A) COH. B) CAH. C) COA. D) CHA. Show Answer Correct Answer: B) CAH. 7. What indicates a phase shift in the graph? A) No maximum or minimum. B) Minimum at x = 0. C) Maximum at x = 0. D) Maximum not at x = 0. Show Answer Correct Answer: D) Maximum not at x = 0. 8. Evaluate:$\cos\left(-\frac{5\pi}{2}\right)$ A) $1$. B) $-1$. C) $0$. D) $undefined$. Show Answer Correct Answer: C) $0$. 9. $\tan\left(\sin^{-1}\left(\frac{-1}{2}\right)\right)$ A) $\sqrt[]{3}$. B) $\frac{\sqrt[]{3}}{3}$. C) $-\\\sqrt[]{3}$. D) $\frac{-\\\sqrt[]{3}}{3}$. Show Answer Correct Answer: D) $\frac{-\\\sqrt[]{3}}{3}$. 10. The cosine function is ..... A) Odd. B) None. C) Even. D) None of the above. Show Answer Correct Answer: C) Even. 11. Find $\tan\left(\theta\right)$ $\sin\left(\theta\right)=-\frac{3}{5}$ $\cos\left(\theta\right)>0$ A) $-\frac{3}{4}$. B) $\frac{4}{5}$. C) $\frac{4}{3}$. D) $-\frac{5}{3}$. Show Answer Correct Answer: A) $-\frac{3}{4}$. 12. Consider the image of the graph of y = sin xunder the transformation:$\left(x, y\right)\rightarrow\left(4x, \\frac{y}{5}\right)$ A) $y=\sin\left(4x\right)-5$. B) $y=5\sin\left(x+4\right)$. C) $y=\frac{1}{5}\sin\left(\frac{x}{4}\right)$. D) $y=\frac{1}{5}\sin\left(4x\right)$. Show Answer Correct Answer: C) $y=\frac{1}{5}\sin\left(\frac{x}{4}\right)$. 13. Find the exact value of $\csc^{-1}\left(\frac{2\sqrt{3}}{3}\right)$ A) $\frac{2\pi}{3}$. B) $-\frac{\pi}{3}$. C) $\frac{\pi}{6}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: D) $\frac{\pi}{3}$. 14. Find the value of $\sin^{-1}\left(\cos\\frac{\Pi}{6}\right)$ A) $\frac{\Pi}{6}$. B) $\frac{\Pi}{3}$. C) $\frac{\Pi}{2}$. D) $\frac{3\Pi}{2}$. Show Answer Correct Answer: B) $\frac{\Pi}{3}$. 15. What is the missing number?Sin(45) = Cos( ) A) 45. B) 95. C) 145. D) 195. Show Answer Correct Answer: A) 45. 16. Given $f\left(x\right)=\cos^2\left(4x\right)$ $f'\left(x\right)$ A) $2\cos\left(4x\right)\sin\left(4x\right)$. B) $8\cos\left(4x\right)\sin\left(4x\right)$. C) $-8\cos\left(4x\right)\sin\left(4x\right)$. D) $-2\cos\left(4x\right)\sin\left(4x\right)$. Show Answer Correct Answer: C) $-8\cos\left(4x\right)\sin\left(4x\right)$. 17. $\cot\left(-\frac{11\pi}{6}\right)=$ A) $-\sqrt{3}$. B) $-\frac{1}{\sqrt{3}}$. C) $\frac{1}{\sqrt{3}}$. D) $\sqrt{3}$. Show Answer Correct Answer: D) $\sqrt{3}$. 18. Find the exact value of $\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)$ A) $-\frac{\pi}{3}$. B) $\frac{\pi}{3}$. C) $-\frac{\pi}{6}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: D) $\frac{\pi}{6}$. 19. Cos 2 $\pi$ A) 1. B) -1. C) 0. D) 1 degree. Show Answer Correct Answer: A) 1. 20. What is the derivative of cosec x? A) $\cot^2x$. B) Cosec x cot x. C) $-\cot^2x$. D) -cosecx cotx. Show Answer Correct Answer: D) -cosecx cotx. 21. What trigonometric functions have vertical asymptotes? A) Sine. B) Cosine. C) Tangent. D) None listed here. Show Answer Correct Answer: C) Tangent. 22. Which graph could used as a model to help graph $y=\csc x$ A) $y=\cos x$. B) $y=\tan x$. C) $y=\sin x$. D) $y=\sec x$. Show Answer Correct Answer: C) $y=\sin x$. 23. What is the reference angle for 172$^{0}$? A) 8$^{0}$. B) 16$^{0}$. C) 18$^{0}$. D) 72$^{0}$. Show Answer Correct Answer: A) 8$^{0}$. 24. If you are given the opposite side and hypotenuse, which trig function should you use? A) Sine. B) Cosine. C) Tangent. D) Cotangent. Show Answer Correct Answer: A) Sine. 25. Evaluate:$\cos^{-1}\left(\cos\left(\frac{7\pi}{4}\right)\right)$ A) $\frac{\sqrt{2}}{2}$. B) $\frac{\pi}{4}$. C) $\frac{\pi}{3}$. D) $\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: B) $\frac{\pi}{4}$. ← 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 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 10Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books