This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the period of the function $y=8\csc\left(4x-\frac{\pi}{4}\right)-3$ A) $\frac{\pi}{4}$. B) $\frac{\pi}{2}$. C) $4\pi$. D) $8\pi$. Show Answer Correct Answer: B) $\frac{\pi}{2}$. 2. Differentiate y = 3 cos 4x A) Y' = 3 sin x. B) Y' = 12 sin 4x. C) Y' =-3 sin 4x. D) Y'=-12 sin 4x. Show Answer Correct Answer: D) Y'=-12 sin 4x. 3. Sin 20$^\circ$ =? A) Cos 70$^\circ$. B) Sin 70$^\circ$. C) Cos 20$^\circ$. D) Tan 20$^\circ$. Show Answer Correct Answer: A) Cos 70$^\circ$. 4. What are the six main trigonometric functions? A) Sine, cosine, tangent, cotangent, secant, and cosecant. B) Sine, cosine, tangent, arc sine, arc cosine, and arc tangent. C) Sine, cosine, tangent, exponential, logarithmic, and power. D) Sine, cosine, tangent, derivative, integral, and limit. Show Answer Correct Answer: A) Sine, cosine, tangent, cotangent, secant, and cosecant. 5. What is the range of the function $y=-4\csc\left(x+\pi\right)+8$ A) $\left(-\infty, 4\right]\cup\left[12, \infty\right)$. B) $\left[4, 12\right]$. C) $\left(-\infty, \infty\right)$. D) None of the above. Show Answer Correct Answer: A) $\left(-\infty, 4\right]\cup\left[12, \infty\right)$. 6. All trigonometric functions have inverse over their respective domains. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 7. An angle in standard position has a sin that is positive and a cos that is positive. In which quadrant is the angle? A) I. B) II. C) III. D) IV. Show Answer Correct Answer: A) I. 8. Which function is defined as the reciprocal of sine? A) Cosine. B) Cosecant. C) Secant. D) Cotangent. Show Answer Correct Answer: B) Cosecant. 9. Find $\frac{\text{d}y}{\text{d}x}$ A) $\frac{1}{6x+1}$. B) $\frac{6}{6x+1}$. C) $\frac{1}{6x}$. D) 6. Show Answer Correct Answer: B) $\frac{6}{6x+1}$. 10. Find the exact value of $\sin\frac{\pi}{3}$ A) $-\sqrt{2}$. B) $\sqrt{2}$. C) $\frac{\sqrt{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt{3}}{2}$. 11. What is the period of the following function? $y=-4\sin2\left(x+\frac{\pi}{2}\right)-5$ A) $-4$. B) $4$. C) $2\pi$. D) $\pi$. E) $-5$. Show Answer Correct Answer: D) $\pi$. 12. Which expression is equivalent to the trigonometric expression $\frac{1-\sin^2\left(\theta\right)}{\cos\left(\theta\right)}$ A) $\sec\left(\theta\right)$. B) $\sin\left(\theta\right)$. C) $\cos\left(\theta\right)$. D) $\csc\left(\theta\right)$. Show Answer Correct Answer: C) $\cos\left(\theta\right)$. 13. What is the definition for cotangent (cot)? A) R/y. B) R/x. C) X/y. D) Y/x. Show Answer Correct Answer: C) X/y. 14. What are the negative and positive coterminal angles of-225 degrees? A) 375$^\circ$, -600$^\circ$. B) 125$^\circ$, -356$^\circ$. C) 135$^\circ$, -585$^\circ$. D) 60$^\circ$, -120$^\circ$. Show Answer Correct Answer: C) 135$^\circ$, -585$^\circ$. 15. Draw a reference right triangle for $\tan(\theta) = \frac{5}{12}$ $\sec(\theta)$ A) $\frac{13}{12}$. B) $\frac{12}{13}$. C) $\frac{5}{13}$. D) $\frac{13}{5}$. Show Answer Correct Answer: A) $\frac{13}{12}$. 16. Which side is the hypotenuse? A) Any of the 3 sides. B) The longest side. C) The one opposite the angle. D) The one adjacent to the angle. Show Answer Correct Answer: B) The longest side. 17. Find the amplitude. $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) 1. B) $\frac{1}{2}$. C) -1. D) 4. Show Answer Correct Answer: A) 1. 18. What type of circle plays a large role in understanding trig functions? A) An elliptic circle. B) The unit circle. C) The perfect circle. D) The Pythagorean circle. Show Answer Correct Answer: B) The unit circle. 19. The cosine ratio is found by dividing the A) Adjacent by hypotenuse. B) Hypotenuse by adjacent. C) Opposite by hypotenuse. D) Hypotenuse by opposite. Show Answer Correct Answer: A) Adjacent by hypotenuse. 20. What is the value of $\cos\left(\frac{5\pi}{3}\right)$ A) $-\frac{\sqrt{3}}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $-\frac{1}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: D) $\frac{1}{2}$. 21. What is the period for $y=5\cos\left(6x\right)$ A) $2\pi$. B) $\frac{\pi}{3}$. C) $12\pi$. D) $\frac{2\pi}{5}$. Show Answer Correct Answer: B) $\frac{\pi}{3}$. 22. Find arcsin $\frac{\sqrt[]{3}}{2}$ A) 90$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: C) 60$^\circ$. 23. What is the value of $\cos\left(\frac{\pi}{4}\right)$ A) $0$. B) $\sqrt{2}$. C) $-\frac{\sqrt{3}}{2}$. D) $\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: D) $\frac{\sqrt{2}}{2}$. 24. If A is a square matrix such that $A^2$ $\left(I+A\right)^2-3A$ A) I. B) 2A. C) 3I. D) A. Show Answer Correct Answer: A) I. 25. Determine the vertical translation for the trig function shown below. $f\left(x\right)=-\frac{5}{3}\csc\left(2x+\pi\right)-2$ A) Left 2. B) Right 2. C) Up 2. D) Down 2. Show Answer Correct Answer: D) Down 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