This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 23 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 23 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. This is the challenge question!If the $\tan\theta=\frac{5}{12}$ $\cos\theta$ A) $\frac{\sqrt{5}}{12}$. B) $\frac{12}{13}$. C) $\frac{5}{13}$. D) $\frac{5\sqrt[]{13}}{13}$. Show Answer Correct Answer: B) $\frac{12}{13}$. 2. Raya is riding a Ferris wheel with a radius of 50 meters and a center 65 meters off the ground. Assume Raya starts at the right-hand side of the Ferris wheel.Find Raya's height after the wheel rotates $310^{\circ}$ A) About 43 meters. B) About-38 meters. C) About 27 meters. D) About 108 meters. Show Answer Correct Answer: C) About 27 meters. 3. Give the amplitude for cosine. A) 1. B) 0. C) -1. D) None. Show Answer Correct Answer: A) 1. 4. Give the amplitude for tangent. A) 1. B) 0. C) -1. D) None. Show Answer Correct Answer: D) None. 5. Find arccos 0 A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 90$^\circ$. E) 45$^\circ$. Show Answer Correct Answer: D) 90$^\circ$. 6. The ..... measures the distance from the midline to the maximum or minimum of the function. A) Horizontal shift. B) Vertical shift. C) Period. D) Amplitude. Show Answer Correct Answer: D) Amplitude. 7. What is the cosine of $\frac{11\pi}{6}$ A) $\frac{\sqrt{3}}{2}$. B) -$\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) -$\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{2}$. 8. The coordinates of the point at $\theta=\frac{\pi}{6}$ A) $\left(\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. B) $\left(\frac{1}{2}, \\frac{\sqrt[]{3}}{2}\right)$. C) $\left(-\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. D) $\left(-\frac{1}{2}, \\frac{\sqrt[]{3}}{2}\right)$. Show Answer Correct Answer: A) $\left(\frac{\sqrt[]{3}}{2}, \\frac{1}{2}\right)$. 9. How many radians are there in half a circle? A) 2 pi. B) 180$^{o}$. C) 360$^{o}$. D) Pi. Show Answer Correct Answer: D) Pi. 10. Which of the following phrases declares the reciprocal of sine? A) Cotangent. B) Secant. C) Cosecant. D) Tangent. Show Answer Correct Answer: C) Cosecant. 11. Does the graph of sine have asymptotes? A) No. B) Yes. C) All the above. D) None of the above. Show Answer Correct Answer: A) No. 12. If $\sin x=\frac{b}{a}$ $x=\sin^{-1}\left(\frac{b}{a}\right)$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 13. $\frac{d}{dx}\left(x\sin x\right)=$ A) $\cos x$. B) $x\sin x+\cos x$. C) $x\cos x+\sin x$. D) $x\sin x-\cos x$. Show Answer Correct Answer: C) $x\cos x+\sin x$. 14. Find the trig value rounded to the nearest ten-thousandth.Tan(42$^\circ$) A) .9004. B) .8123. C) 88.6361. D) 42. Show Answer Correct Answer: A) .9004. 15. Principal domain of tan(x) is A) $\left[0, \pi\right]$. B) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. C) $\left[0, \frac{\pi}{2}\right]$. D) $\left[0, 2\pi\right]$. Show Answer Correct Answer: B) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. 16. Find g'(x) if g(x) = sin$^{1/2}$(4x) A) 2cos$^{-1/2}$(4x). B) 4cos$^{1/2}$(4x). C) 2sin$^{-1/2}$(4x)cos(4x). D) 1/2sin$^{-1/2}$(4x)cos(4x). Show Answer Correct Answer: C) 2sin$^{-1/2}$(4x)cos(4x). 17. What is the sign of tangent function in the 3. Quadrant? A) Positive. B) Negative. C) Both positive and negative. D) No sing. Show Answer Correct Answer: A) Positive. 18. What is 240 degrees in radians? A) $\frac{\pi}{3}$. B) $\frac{4\pi}{3}$. C) $\frac{5\pi}{3}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: B) $\frac{4\pi}{3}$. 19. $evaluate\\tan^{-1}\left\{\sin\left(-\frac{\pi}{2}\right)\right\}$ A) $\frac{\pi}{4}$. B) $\frac{3\pi}{4}$. C) $-\frac{3\pi}{4}$. D) $-\frac{\pi}{4}$. Show Answer Correct Answer: D) $-\frac{\pi}{4}$. 20. Find the reference angle for an angle measuring-300$^\circ$ A) 60$^\circ$. B) -60$^\circ$. C) 30$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: A) 60$^\circ$. 21. Cos (180$^\circ$ + x) = A) Cosx. B) Sinx. C) -sinx. D) -cosx. Show Answer Correct Answer: D) -cosx. 22. What is the value of $\frac{\text{d}}{\text{d}x}\left(e^x\tan x\right)$ A) 0. B) 1. C) -1. D) 2. Show Answer Correct Answer: B) 1. 23. Give the Ratio for COS X A) Adj/Hyp. B) Opp/Adj. C) Adj/Opp. D) Opp/Hyp. Show Answer Correct Answer: A) Adj/Hyp. 24. Given $\cos(\theta) = \frac{5}{13}$ $\sin(\theta)$ A) $\frac{12}{13}$. B) $\frac{5}{12}$. C) $\frac{13}{12}$. D) $\frac{5}{13}$. Show Answer Correct Answer: A) $\frac{12}{13}$. 25. Solve the equation sinx=1 A) 0. B) 45. C) 90. D) 180. Show Answer Correct Answer: C) 90. ← 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