This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Point M(-7, 9) is a point on the terminal side of angle $\theta$ $\theta$ A) $\frac{\sqrt{130}}{9}$. B) $\frac{9\sqrt{130}}{130}$. C) $-\frac{\sqrt{130}}{9}$. D) $-\frac{\sqrt{130}}{7}$. Show Answer Correct Answer: A) $\frac{\sqrt{130}}{9}$. 2. What is the reference angle for 30 degrees? A) 70 degrees. B) 30 degrees. C) 150 degrees. D) 330 degrees. Show Answer Correct Answer: B) 30 degrees. 3. What's the amplitude of this function?y = 5 cos(x/4) + 7 A) 5. B) 4. C) 8. D) 7. Show Answer Correct Answer: A) 5. 4. Sinx=1/2 Find the Angle in degrees A) 0. B) 30. C) 45. D) 60. Show Answer Correct Answer: B) 30. 5. $\operatorname{cosec}\left(\sec^{-1}\left(-2\right)\right)$ A) 2. B) -2. C) $\frac{2}{\sqrt{3}}$. D) $-\frac{2}{\sqrt{3}}$. Show Answer Correct Answer: C) $\frac{2}{\sqrt{3}}$. 6. Sin 360$^\circ$ = A) 0. B) 1. C) -1. D) 1/2. Show Answer Correct Answer: A) 0. 7. What is the horizontal shift of $y=-2\tan\left(x-\frac{\pi}{2}\right)$ A) $Left\\frac{\pi}{2}$. B) $Right\\frac{\pi}{4}$. C) $Right\\frac{\pi}{2}$. D) $Left\\frac{\pi}{4}$. Show Answer Correct Answer: C) $Right\\frac{\pi}{2}$. 8. Which of the following affects the period? $y=a\sin\left(b\left(x-h\right)\right)+k$ A) A. B) B. C) H. D) K. Show Answer Correct Answer: B) B. 9. Given that sin x = 3/5, find the value of cos x. A) 5/4. B) 4/5. C) 5/3. D) 3/4. Show Answer Correct Answer: B) 4/5. 10. Sinx is ..... A) Continuous. B) Discontinuous. C) None. D) None of the above. Show Answer Correct Answer: A) Continuous. 11. What is the amplitude of this equation?y =-10cos(5x) A) -10. B) 5. C) 2pi/5. D) 10. Show Answer Correct Answer: D) 10. 12. Use sum or difference angles identity to find the exact value for $\cos105^o$ A) $\frac{\sqrt{6}+\sqrt{2}}{4}$. B) $\frac{\sqrt{6}-\sqrt{2}}{4}$. C) $\frac{-\sqrt{6}-\sqrt{2}}{4}$. D) $\frac{\sqrt{2}-\sqrt{6}}{4}$. Show Answer Correct Answer: D) $\frac{\sqrt{2}-\sqrt{6}}{4}$. 13. $\sin^{-1}\left(\sin\\frac{3\pi}{5}\right)$ A) $\frac{3\pi}{5}$. B) $\frac{2\pi}{5}$. C) $\frac{\pi}{5}$. D) $-\frac{\pi}{5}$. Show Answer Correct Answer: B) $\frac{2\pi}{5}$. 14. $f\left(x\right)=\sin\\frac{4}{3}\left(x+\frac{3\pi}{2}\right)+2$ A) Right $\frac{3\pi}{2}$. B) Left $\frac{3\pi}{2}$. C) Up 2. D) Down 2. Show Answer Correct Answer: B) Left $\frac{3\pi}{2}$. 15. What is the range of values that the cotangent function can take? A) -Infinity to Infinity. B) -1 to 1. C) 1 to Infinity. D) 0 to 1. Show Answer Correct Answer: A) -Infinity to Infinity. 16. Based on your unit circle cos(30$^{o}$)= A) 1. B) 1/2. C) Sqt3/2. D) Sqt2/2. Show Answer Correct Answer: C) Sqt3/2. 17. Which of the following statements are true?I. In 2$^{nd}$ quadrant, sinx is decreasing.II. In 1$^{st}$ quadrant, cosx is increasing. III. In 2$^{nd}$ quadrant, tanx is decreasing. A) I. B) II. C) III. D) I and II. E) I, II and III. Show Answer Correct Answer: A) I. 18. If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. II, $\frac{r}{y}$ A) Positive. B) Negative. C) All the above. D) None of the above. Show Answer Correct Answer: A) Positive. 19. $\frac{d}{dx}\left(\frac{\sin x}{1+\cos x}\right)=$ A) $\frac{\cos x}{-\sin x}$. B) $\frac{-\sin^2x-\cos x+\cos^2x}{\left(1+\cos x\right)^2}$. C) $\frac{1}{1+\cos x}$. D) $\frac{-\cos^2x+\cos x+\sin^2x}{\left(1+\cos x\right)^2}$. Show Answer Correct Answer: C) $\frac{1}{1+\cos x}$. 20. For the function y = |cos x|-2, it has A) Maximum value of 0minimum value of-2. B) Maximum value of 1minimum value of 0. C) Maximum value of-1minimum value of-2. D) Maximum value of-2minimum value of-1. Show Answer Correct Answer: C) Maximum value of-1minimum value of-2. 21. Find the exact value of $\tan\left(\cot^{-1}\left(\sqrt{3}\right)\right)$ A) $\frac{\sqrt{3}}{3}$. B) $\sqrt{3}$. C) Undefined. D) $1$. Show Answer Correct Answer: A) $\frac{\sqrt{3}}{3}$. 22. Find the exact value of $\cot^{-1}\left(-\frac{\sqrt{3}}{3}\right)$ A) $\frac{\pi}{3}$. B) $-\frac{\pi}{3}$. C) $\frac{2\pi}{3}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: C) $\frac{2\pi}{3}$. 23. How do you determine if the sine ratio of an angle will be positive or negative? A) The direction of rotation (clockwise or counterclockwise) of the angle drawn in standard position. B) The quadrant that the terminal side of the angle lies in when drawn in standard position. C) The reference angle. D) None of the above. Show Answer Correct Answer: B) The quadrant that the terminal side of the angle lies in when drawn in standard position. 24. A right triangle must have ..... A) A 75 degree angle. B) A 30 degree angle. C) A 45 degree angle. D) A 60 degree angle. E) A 90 degree angle. Show Answer Correct Answer: E) A 90 degree angle. 25. $\operatorname{arccsc}\left(2\right)$ A) $\frac{\pi}{6}$. B) $\pi$. C) $\frac{3\pi}{4}$. D) $\frac{7\pi}{6}$. Show Answer Correct Answer: A) $\frac{\pi}{6}$. ← 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