This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 13 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\sec\left(4x\right)$ A) $-2\\sec\left(4x\right)\tan\left(4x\right)$. B) $8\\sec\left(4x\right)\tan\left(4x\right)$. C) $2\\sec\left(4x\right)\tan\left(4x\right)$. D) $-8\\sec\left(4x\right)\tan\left(4x\right)$. Show Answer Correct Answer: B) $8\\sec\left(4x\right)\tan\left(4x\right)$. 2. $\cos\left(\sin^{-1}\frac{\text{1}}{\text{4}}+\sec^{-1}\frac{4}{3}\right)$ A) $\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{16}$. B) $\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{4}$. C) $\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{16}$. D) $\frac{\left(3\sqrt{15}+\sqrt{7}\right)}{4}$. Show Answer Correct Answer: A) $\frac{\left(3\sqrt{15}-\sqrt{7}\right)}{16}$. 3. What is an antiderivative? A) The opposite of a derivative. B) The same as a derivative. C) A second derivative. D) It always represents velocity. Show Answer Correct Answer: A) The opposite of a derivative. 4. What is the expression for 2 cos(A) cos(B)? A) Sin(A) sin(B). B) Sin(A + B). C) Cos(A + B) + cos(A-B). D) Tan(A) + tan(B). Show Answer Correct Answer: C) Cos(A + B) + cos(A-B). 5. $\sec\left(180-\theta\right)=$ A) $\operatorname{cosec}\\theta$. B) $\sec\\theta$. C) $-\sec\theta$. D) $-\operatorname{cosec}\\theta$. Show Answer Correct Answer: C) $-\sec\theta$. 6. What is $\sec\left(\frac{7\pi}{4}\right)$ A) $\frac{\sqrt{2}}{2}$. B) $\sqrt{2}$. C) $-\frac{\sqrt{2}}{2}$. D) $-\sqrt{2}$. Show Answer Correct Answer: B) $\sqrt{2}$. 7. $\tan\left(\theta\right)$ $\theta$ A) $\frac{opposite}{hypotenuse}$. B) $\frac{opposite}{adjacent}$. C) $\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$. D) $\frac{hypotenuse}{adjacent}$. Show Answer Correct Answer: B) $\frac{opposite}{adjacent}$. 8. Value of tan 45$^{0}$ =1 A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 9. $\tan\left(\sin^{-1}\left(\frac{5}{13}\right)\right)$ A) 5/12. B) 5/13. C) 3/13. D) 3/5. Show Answer Correct Answer: A) 5/12. 10. $\cos\left(\sec^{-1}x+\operatorname{cosec}^{-1}x\right)=$ A) 1. B) 0. C) $\frac{\pi}{2}$. D) None of these. Show Answer Correct Answer: B) 0. 11. $\tan\left(-\frac{\pi}{6}\right)=$ A) $-\sqrt{3}$. B) $-\frac{1}{\sqrt{3}}$. C) $\frac{1}{\sqrt{3}}$. D) $\sqrt{3}$. Show Answer Correct Answer: B) $-\frac{1}{\sqrt{3}}$. 12. A Ferris wheel is 5 feet off the ground and has a diameter of 40 feet. You get on and find that it takes 30 seconds to complete one revolution. Write an equation that models your height, y, as a function of time, x. A) Y = 20cos(pi/15 x) + 5. B) Y =-20cos(pi/15 x) + 5. C) Y = 40cos(pi/30 x) + 5. D) Y =-40cos(pi/30 x) + 5. E) Y =-20cos(pi/30 x) + 5. Show Answer Correct Answer: B) Y =-20cos(pi/15 x) + 5. 13. $\lim_{x\rightarrow0}\\frac{\sin\left(-x\right)}{3x}$ A) -3. B) $-\frac{1}{3}$. C) $0$. D) $\frac{1}{3}$. E) 3. Show Answer Correct Answer: B) $-\frac{1}{3}$. 14. Is cosine an even or odd function? A) Even. B) Odd. C) All the above. D) None of the above. Show Answer Correct Answer: A) Even. 15. Select the MOST SIMPLIFIED answer for:$\sec x\times\cos x$ A) $\cot x$. B) 1. C) -1. D) $\tan x$. Show Answer Correct Answer: B) 1. 16. Let A be a square matrix of order 3 $\times$ $\left|kA\right|$ A) $k^2\left|A\right|$. B) $k^2\left|A\right|$. C) $k^{3^{ }}\left|A\right|$. D) $3k\left|A\right|$. Show Answer Correct Answer: C) $k^{3^{ }}\left|A\right|$. 17. $\frac{\text{d}}{\text{d}y}\left(\cot x\right)$ A) $-\csc^2x$. B) $\csc^2x$. C) $\cot^{-1}x$. D) $\frac{1}{\cot x}$. E) $\csc x$. Show Answer Correct Answer: A) $-\csc^2x$. 18. Secant is the reciprocal of what function? A) Cosecant. B) Sine. C) Cosine. D) Tangent. Show Answer Correct Answer: C) Cosine. 19. Tan(sin$^{-1}$(-1/2)) A) $\sqrt{3}$. B) $-\sqrt{3}$. C) $\frac{1}{\sqrt{3}}$. D) $\frac{-1}{\sqrt{3}}$. Show Answer Correct Answer: D) $\frac{-1}{\sqrt{3}}$. 20. (3, -3) is a point on the terminal side of an angle. Find the exact value of $\csc\theta$ A) $-\frac{\sqrt{2}}{2}$. B) $\frac{\sqrt{2}}{2}$. C) -1. D) $-\sqrt{2}$. Show Answer Correct Answer: D) $-\sqrt{2}$. 21. Cotangent is the reciprocal of what function? A) Cosecant. B) Sine. C) Cosine. D) Tangent. Show Answer Correct Answer: D) Tangent. 22. Pythagoras' theorem is used when A) 3 sides are involved. B) 1 angle 2 sides are involved. C) 2 angles 1 side are involved. D) 3 angles are involved. Show Answer Correct Answer: A) 3 sides are involved. 23. The Amplitude is always a positive number. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 24. Which of the following parent functions do NOT have a period of $2\pi$ A) Y = sin x. B) Y = tan x. C) Y = csc x. D) None of the above. Show Answer Correct Answer: B) Y = tan x. 25. Which trigonometric ratio is correct? A) SinA= opp/adj. B) CosA= opp/hyp. C) TanA= opp/adj. D) SinA= adj/opp. Show Answer Correct Answer: C) TanA= opp/adj. ← 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