This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. According to the text, what is the value of sin C + sin D? A) Sin C + sin D + 1. B) Sin C cos D. C) Sin C-sin D. D) 2 sin((C + D)/2) cos((C-D)/2). Show Answer Correct Answer: D) 2 sin((C + D)/2) cos((C-D)/2). 2. $f\left(x\right)=-2\cos2\left(x+\frac{5\pi}{4}\right)+3$ A) -2. B) 2. C) $\pi$. D) 3. Show Answer Correct Answer: C) $\pi$. 3. Find arccos $\frac{1}{2}$ A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 90$^\circ$. E) 45$^\circ$. Show Answer Correct Answer: C) 60$^\circ$. 4. X-intercepts can also be called ..... ? ..... A) Amplitude. B) Period. C) Zeros. D) Asymptotes. Show Answer Correct Answer: C) Zeros. 5. The formal combined name of sine and cosine graphs is ..... A) Sinusoidal graphs. B) Cosinoidal graphs. C) Wavy graphs. D) Perpetual graphs. Show Answer Correct Answer: A) Sinusoidal graphs. 6. Differentiate f(x) = sin 2x-5 cos 4x A) F'(x) = cos 2x + 5 sin 4x. B) F'(x) = 2cos 2x + 20 sin x. C) F'(x) = 2 cos 2x + 20 sin 4x. D) F'(x) = 2 cos 2x-20 sin 4x. Show Answer Correct Answer: C) F'(x) = 2 cos 2x + 20 sin 4x. 7. In what type of triangle do we use Trigonometry? A) Right angled triangle. B) Isosceles triangle. C) Scalene triangle. D) Any triangle. Show Answer Correct Answer: A) Right angled triangle. 8. What is the maximum value that the sine function can attain? A) 0. B) Infinity. C) 1. D) -1. Show Answer Correct Answer: C) 1. 9. Solve the equation $2\operatorname{cosec}^2\theta=9\cot\theta-7$ $0\le\theta\le360$ A) 18.43, 33.69, 198.43. B) 33.69, 213.69, 18.43, 198.43. C) 18.43, 33.69. D) 16.43, 30.69, 198.43, 213.69. Show Answer Correct Answer: B) 33.69, 213.69, 18.43, 198.43. 10. Write the equation for a sine function with an amplitude of 6 and a period of $\frac{\pi}{4}$ A) $y=6\sin8\theta$. B) $y=6\sin8\left(\theta-1\right)$. C) $y=6\sin\\frac{1}{4}\theta$. D) $y=6\sin\theta$. Show Answer Correct Answer: A) $y=6\sin8\theta$. 11. Based on your unit circle sin(90$^{o}$)= A) 1/2. B) 0. C) -1. D) 1. Show Answer Correct Answer: D) 1. 12. What is the reference angle for $\frac{5\pi}{4}$ A) $\frac{3\pi}{4}$. B) $\frac{\pi}{3}$. C) $\frac{\pi}{2}$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: D) $\frac{\pi}{4}$. 13. What is the COSINE ratio of any angle in a right triangle A) $\frac{\text{adjacent}}{\text{hypotenuse}}$. B) $\frac{\text{opposite}}{hypotenuse}$. C) $\frac{\text{opposite}}{\text{adjacent}}$. D) $\frac{\text{hypotenuse}}{\text{opposite}}$. Show Answer Correct Answer: A) $\frac{\text{adjacent}}{\text{hypotenuse}}$. 14. What is the value of the trigonometric function $\csc\\frac{5\pi}{3}$ A) $-\sqrt[]{3}$. B) $-\frac{2\\sqrt[]{3}}{3}$. C) $-\frac{2\\sqrt[]{3}}{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: B) $-\frac{2\\sqrt[]{3}}{3}$. 15. Given that $\theta$ $\tan\theta<0, \\cos\theta<0$ A) Quadrant I. B) Quadrant II. C) Quadrant III. D) Quadrant IV. Show Answer Correct Answer: B) Quadrant II. 16. What is the reference angle for 455 degrees? A) 35 degrees. B) 95 degrees. C) 85 degrees. D) 65 degrees. Show Answer Correct Answer: C) 85 degrees. 17. What is the global minimum value of $y=4\sin\left(3x+2\pi\right)-6$ A) $-10$. B) $-2$. C) $4$. D) $-4$. Show Answer Correct Answer: A) $-10$. 18. Which trigonometric function is defined as adj/hyp in a right triangle? A) Sine. B) Cosine. C) Tangent. D) Secant. Show Answer Correct Answer: B) Cosine. 19. A trig function has an amplitude of 4 and a minimum value of 5. What is the maximum value? A) 7. B) 9. C) 11. D) 13. Show Answer Correct Answer: D) 13. 20. What is the period of the basic cosine function? A) $\pi$. B) $2\pi$. C) $\frac{\pi}{2}$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: B) $2\pi$. 21. Which of the following statements are false?I. In 1$^{st}$ quadrant, tanx is decreasing.II. In 1$^{st}$ quadrant, cosx is increasing. III. In 2$^{nd}$ quadrant, sinx is increasing. A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: E) I, II and III. 22. The period of $y=a\sin\left(bx\right)+d$ A) A. B) B. C) D. D) None of the above. Show Answer Correct Answer: D) None of the above. 23. What is the period of this equation?y =-5sin(3x) A) -5. B) 2pi/3. C) 2pi/5. D) 3. Show Answer Correct Answer: B) 2pi/3. 24. The secant graph has a reflection of which other trigonometric graph? A) Sine. B) Cosine. C) Tangent. D) Cotangent. Show Answer Correct Answer: B) Cosine. 25. Find the csc $\left(\frac{5\pi}{4}\right)$ A) $0$. B) $-\frac{2\sqrt[]{3}}{3}$. C) $-\sqrt[]{2}$. D) $-\frac{1}{2}$. Show Answer Correct Answer: C) $-\sqrt[]{2}$. ← 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