This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 22 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 22 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The Sine ratio is found by dividing the A) Opposite by hypotenuse. B) Adjacent by hypotenuse. C) Hypotenuse by adjacent. D) Hypotenuse by opposite. Show Answer Correct Answer: A) Opposite by hypotenuse. 2. Value of tan 15 is A) $\sqrt{3}$. B) 2-$\sqrt{3}$. C) $\sqrt{3}$. D) None. Show Answer Correct Answer: B) 2-$\sqrt{3}$. 3. Find a coterminal angle to-27$^\circ$. A) -387$^\circ$. B) 27$^\circ$. C) 323$^\circ$. D) -393$^\circ$. Show Answer Correct Answer: A) -387$^\circ$. 4. What happens to the tangent of Theta when Theta equals pi over 2? A) It equals 0. B) It is undefined. C) It equals 1. D) It equals-1. Show Answer Correct Answer: B) It is undefined. 5. 2cosx-1=0 A) 60, 120. B) 60, 240. C) 120, 240. D) 60, 300. Show Answer Correct Answer: D) 60, 300. 6. Find arctan 0 A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: A) 0$^\circ$. 7. Convierta $\frac{2}{3}\pi$ A) 120$^\circ$. B) 110$^\circ$. C) 125$^\circ$. D) 122$^\circ$. Show Answer Correct Answer: A) 120$^\circ$. 8. If sin x = cos y, what must be true about x and y? A) X + y = 90$^\circ$. B) X = y. C) X = 2y. D) X + y = 180$^\circ$. Show Answer Correct Answer: A) X + y = 90$^\circ$. 9. Write an equation for the cosine function with amplitude 3, period 2pi, phase shift of pi, and vertical shift of 5. A) Y = 5cos(x-pi) + 3. B) Y = 3cos(x-pi) + 5. C) Y = 3cos(2x-pi) + 5. D) Y = 5cos(2x-pi) + 3. Show Answer Correct Answer: B) Y = 3cos(x-pi) + 5. 10. What is the period of the basic tangent function? A) $\pi$. B) $2\pi$. C) $\frac{\pi}{2}$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: A) $\pi$. 11. Find the Principal Value of $\sin^{-1}\left(\sin\frac{2\pi}{3}\right)$ A) $\frac{2\pi}{3}$. B) $-\frac{\pi}{3}$. C) $-\pi$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: D) $\frac{\pi}{3}$. 12. Find a coterminal angle to-180 degrees. A) 180. B) 90. C) 270. D) 360. Show Answer Correct Answer: A) 180. 13. What is the amplitude and vertical shift of the function y =-3 sin(x) + 2? A) Amplitude 3Vertical shift down 2. B) Amplitude-3Vertical shift down 2. C) Amplitude 3Vertical shift up 2. D) Amplitude 2Vertical shift down 3. Show Answer Correct Answer: C) Amplitude 3Vertical shift up 2. 14. How many degrees does circle have? A) 360 degrees. B) 2pi. C) 180 degrees. D) Pi. Show Answer Correct Answer: A) 360 degrees. 15. $\sin\\frac{4\pi}{3}$ A) $\frac{\sqrt{3}}{2}$. B) $-\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: B) $-\frac{\sqrt{3}}{2}$. 16. 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. IV, $\frac{x}{y}$ A) Positive. B) Negative. C) All the above. D) None of the above. Show Answer Correct Answer: B) Negative. 17. $f\left(x\right)=-\csc\left(x+\frac{\pi}{2}\right)+4$ A) -1. B) $2\pi$. C) $\frac{\pi}{2}$. D) 4. Show Answer Correct Answer: B) $2\pi$. 18. Evaluate:$\tan\frac{5\pi}{3}$ A) $-\sqrt{3}$. B) $-\frac{1}{\sqrt{3}}$. C) $-\frac{2}{\sqrt{3}}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: A) $-\sqrt{3}$. 19. Given that $\theta$ $\cot\theta>0, \\sec\theta<0$ A) Quadrant I. B) Quadrant II. C) Quadrant III. D) Quadrant IV. Show Answer Correct Answer: C) Quadrant III. 20. What is another name for a phase shift? A) Horizontal Dilation. B) Horizontal Shift/Translation. C) Vertical Dilation. D) Vertical Shift/Translation. Show Answer Correct Answer: B) Horizontal Shift/Translation. 21. Which of the following trig functions has the same asymptote equation as the TANGENT function A) Sine. B) Cosine. C) Cosecant. D) Secant. Show Answer Correct Answer: D) Secant. 22. The equation of a circle is given by $x^2+y^2-6x+9y\-18=0$ A) Center (3, -4.5) radius 6.9. B) Center (3, -4.5) radius 7. C) Center (-3, 4.5) radius 6.9. D) Center (-3, 4.5) radius 47.25. Show Answer Correct Answer: A) Center (3, -4.5) radius 6.9. 23. Find the exact value of $\tan\left(\sin^{-1}\left(\frac{1}{2}\right)\right)$ A) $\sqrt[]{3}$. B) $\frac{\sqrt{3}}{3}$. C) $-\sqrt{3}$. D) $-\frac{\sqrt{3}}{3}$. Show Answer Correct Answer: B) $\frac{\sqrt{3}}{3}$. 24. Find the radius of the circle in which a central angle of 60$^\circ$ intercepts an arc of length 37.4 cm (use $\pi==\frac{22}{7}$ A) 31.7 cm. B) 30.7 cm. C) 35.7 cm. D) 40.7 cm. Show Answer Correct Answer: C) 35.7 cm. 25. What is the period of $f\left(x\right)=2\cos\left(4x+8\right)-5$ A) $\frac{\pi}{3}$. B) $6\pi$. C) $\frac{2\pi}{3}$. D) $\frac{\pi}{2}$. Show Answer Correct Answer: D) $\frac{\pi}{2}$. ← 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