This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Give the y-intercept of cosine. A) 0. B) 1. C) -1. D) None. Show Answer Correct Answer: B) 1. 2. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\csc\left(\tan^{-1}\left(-\frac{60}{11}\right)\right)=R$ $R$ A) $-\frac{61}{60}$. B) -6061 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $-\frac{61}{60}$. 3. For the function y = |3sin x-2|, it has A) Maximum value of 3minimum value of-2. B) Maximum value of 5minimum value of 0. C) Maximum value of 1minimum value of-5. D) Maximum value of 1minimum value of-2. Show Answer Correct Answer: B) Maximum value of 5minimum value of 0. 4. $\frac{d}{d\theta}\left(\theta\csc\theta-\cot\theta\right)=$ A) $\csc\theta\left(-\theta\cot\theta+1+\csc\theta\right)$. B) $\csc\theta\left(-\theta\csc\theta+1+\cot\theta\right)$. C) $\cot\theta\left(-\theta\cot\theta+1+\csc\theta\right)$. D) $\cot\theta\left(-\theta\csc\theta+1+\cot\theta\right)$. Show Answer Correct Answer: A) $\csc\theta\left(-\theta\cot\theta+1+\csc\theta\right)$. 5. If $\tan\theta<0$ $\cos\theta>0$ $\theta$ A) Quadrant 1 and 2. B) Quadrant 2 and 3. C) Quadrant 3 and 4. D) Quadrant 1 and 4. Show Answer Correct Answer: D) Quadrant 1 and 4. 6. Give the Ratio for SIN X A) Opp/adj. B) Adj/hyp. C) Opp/hyp. D) Adj/opp. Show Answer Correct Answer: C) Opp/hyp. 7. $\cos^{-1}\left(\frac{1}{2}\right)=?$ A) $\frac{\pi}{6}$. B) $\frac{\pi}{3}$. C) $\frac{\pi}{4}$. D) $\frac{\pi}{2}$. Show Answer Correct Answer: B) $\frac{\pi}{3}$. 8. Point R(3, 4) is a point on the terminal side of angle $\theta$ $\theta$ A) $\frac{3}{4}$. B) $-\frac{4}{3}$. C) $\frac{4}{5}$. D) $\frac{4}{3}$. Show Answer Correct Answer: D) $\frac{4}{3}$. 9. Differentiate $\sqrt{1-3x^2}$ A) $\frac{1}{2}\sqrt{1-3x^2}$. B) $\frac{1}{2\sqrt{1-3x^2}}$. C) $-\frac{3x}{\sqrt{1-3x^2}}$. D) $\frac{3}{2\sqrt{1-3x^2}}$. Show Answer Correct Answer: C) $-\frac{3x}{\sqrt{1-3x^2}}$. 10. Give the derivative of tan x. A) Secxtanx. B) $\sec^2x$. C) $\tan^2x$. D) Secx. Show Answer Correct Answer: B) $\sec^2x$. 11. Sin (180$^\circ$)=? A) 0. B) -1. C) 1. D) Undefined. Show Answer Correct Answer: A) 0. 12. Which trig ratio uses the opposite side and the hypotenuse? A) Sine. B) Cosine. C) Tangent. D) None of the above. Show Answer Correct Answer: A) Sine. 13. Find the Principal Value of $\tan^{-1}\left(-\sqrt{3}\right)$ A) $\frac{\pi}{3}$. B) $-\frac{\pi}{3}$. C) $-\frac{\pi}{4}$. D) None of these. Show Answer Correct Answer: B) $-\frac{\pi}{3}$. 14. $\frac{d}{dx}\left(\frac{\tan x-1}{\sec x}\right)=$ A) $\frac{\sec x}{\tan x}$. B) $\frac{\sec^2x-\tan^2x-\tan x}{\sec x}$. C) $\frac{\tan^2x+\tan x-\sec^2x}{\sec x}$. D) $\frac{1+\tan x}{\sec x}$. Show Answer Correct Answer: D) $\frac{1+\tan x}{\sec x}$. 15. According to the even/odd identities, what is sin(-x)? A) Sin x. B) -sin x. C) Cos x. D) -cos x. Show Answer Correct Answer: B) -sin x. 16. $\frac{\text{d}}{\text{d}y}\left(\left(2x+1\right)^2\cos x\right)$ A) $-\left(2x+1\right)^2\sin x+4\left(2x+1\right)\cos x$. B) $\left(2x+1\right)^2\sin x+4\left(2x+1\right)\cos x$. C) $-\left(2x+1\right)^2\sin x-4\left(2x+1\right)\cos x$. D) $\left(2x+1\right)^2\sin x-4\left(2x+1\right)\cos x$. E) $\left(-2x+3\right)\left(2x+1\right)\sin x\cos x$. Show Answer Correct Answer: A) $-\left(2x+1\right)^2\sin x+4\left(2x+1\right)\cos x$. 17. What is the amplitude of y = 3sin (7x)-2 A) 7. B) -2. C) 3. D) 6. Show Answer Correct Answer: C) 3. 18. What quadrant are tan and cot positive? A) I. B) I and II. C) I and III. D) I and IV. Show Answer Correct Answer: C) I and III. 19. Tan(cos$^{-1}$(-1))= A) Undefined. B) 0. C) 1/2. D) 1. Show Answer Correct Answer: B) 0. 20. $\sec\left(-210^o\right)$ A) $\frac{\sqrt{3}}{2}$. B) $\frac{2}{\sqrt{3}}$. C) $-\frac{\sqrt{3}}{2}$. D) $\frac{-2}{\sqrt{3}}$. Show Answer Correct Answer: D) $\frac{-2}{\sqrt{3}}$. 21. The value of sin $\pi$ A) 0. B) 1. C) 1/ $\sqrt{ }$. D) Not defined. Show Answer Correct Answer: A) 0. 22. Select the MOST SIMPLIFIED answer for:$\frac{\sin^2x}{\sin x\cos x}$ A) $\cot x$. B) $\frac{\cos x}{\sin x}$. C) $\frac{\sin x}{\cos x}$. D) $\tan x$. Show Answer Correct Answer: D) $\tan x$. 23. $\frac{\text{d}}{\text{d}y}\left(2\cos\left(2x\right)+4\sin\left(2x+3\right)\right)$ A) $-4\sin\left(2x\right)+8\cos\left(2x+3\right)$. B) $4\sin\left(2x\right)+8\cos\left(2x+3\right)$. C) $-4\sin\left(2x\right)-8\cos\left(2x+3\right)$. D) $4\sin\left(2x\right)-8\cos\left(2x+3\right)$. E) $-4\sin\left(2x\right)\cos\left(2x\right)+8\sin\left(2x+3\right)\cos\left(2x+3\right)$. Show Answer Correct Answer: A) $-4\sin\left(2x\right)+8\cos\left(2x+3\right)$. 24. If a point on the terminal side of an angle in standard position is $(3, 4)$ $\tan(\theta)$ A) $\frac{3}{4}$. B) $\frac{4}{3}$. C) $\frac{5}{3}$. D) $\frac{3}{5}$. Show Answer Correct Answer: B) $\frac{4}{3}$. 25. In what type of triangle do we use Pythagoras' Theorem? A) Isosceles triangle. B) Scalene triangle. C) Right angled triangle. D) Any triangle. Show Answer Correct Answer: C) Right angled triangle. ← 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