This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\lim_{x\rightarrow0}\\frac{\tan3x}{4x}$ A) 0. B) 1. C) $\frac{3}{4}$. D) DNE. E) $\frac{4}{3}$. Show Answer Correct Answer: C) $\frac{3}{4}$. 2. Find the exact value of the trig ratio. $\cos\left(\frac{5\pi}{3}\right)$ A) $-\frac{1}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: C) $\frac{1}{2}$. 3. In Angles, the point of rotation is called as A) Point. B) Dot. C) Angle. D) Vertex. Show Answer Correct Answer: D) Vertex. 4. What test will you use to determine if a function is one-to-one? A) Vertical Line Test. B) Horizontal Line Test. C) One-to-one Test. D) Function Domain-Range Test. Show Answer Correct Answer: B) Horizontal Line Test. 5. Evaluate $3\sin\left(\frac{\pi}{4}\right)$ A) $\frac{3}{\sqrt{2}}$. B) $\frac{3\sqrt{3}}{2}$. C) $3\sqrt{2}$. D) $3$. Show Answer Correct Answer: A) $\frac{3}{\sqrt{2}}$. 6. $\cot^{-1}\left[\cot\left(\frac{-9\pi}{4}\right)\right]$ A) $\frac{\pi}{4}$. B) $\frac{-\pi}{4}$. C) $\frac{-3\pi}{4}$. D) $\frac{3\pi}{4}$. Show Answer Correct Answer: D) $\frac{3\pi}{4}$. 7. Is tangent an even or odd function? A) Even. B) Odd. C) All the above. D) None of the above. Show Answer Correct Answer: B) Odd. 8. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\cot\left(4x\right)$ A) $-2\\operatorname{cosec}^2\left(4x\right)$. B) $2\\operatorname{cosec}^2\left(4x\right)$. C) $-8\\operatorname{cosec}^2\left(4x\right)$. D) $8\\operatorname{cosec}^2\left(4x\right)$. Show Answer Correct Answer: C) $-8\\operatorname{cosec}^2\left(4x\right)$. 9. What does "cosecant" represent in trigonometry? A) The ratio of the length of the side opposite to an acute angle to the length of the hypotenuse. B) The length of the hypotenuse divided by the length of the side opposite the angle. C) The length of the side adjacent to an acute angle divided by the length of the hypotenuse. D) The ratio of the length of the hypotenuse to the length of the side opposite the angle. Show Answer Correct Answer: D) The ratio of the length of the hypotenuse to the length of the side opposite the angle. 10. One is the measure of a central angle $\theta$ $r$ A) Radian. B) Degree. C) Angle. D) None of the above. Show Answer Correct Answer: A) Radian. 11. $\frac{\text{d}}{\text{d}y}\left(\sec x\right)$ A) $\sec x\tan x$. B) $-\sec x\tan x$. C) $\sec^{-1}x$. D) $\frac{1}{\sec x}$. E) $\csc x\cot x$. Show Answer Correct Answer: A) $\sec x\tan x$. 12. What is the trigonometric function for sec x? A) Sin x/cos x. B) 1/cos x. C) Cos x/sin x. D) 1/sin x. Show Answer Correct Answer: B) 1/cos x. 13. What is the reference angle for 240 degrees? A) 60 degrees. B) 30 degrees. C) 45 degrees. D) 210 degrees. Show Answer Correct Answer: A) 60 degrees. 14. What is the value of cot x when sin x = 6/10? A) 8/6. B) 8/10. C) 6/8. D) 6/10. Show Answer Correct Answer: A) 8/6. 15. $\lim_{x\rightarrow0}\\frac{\tan x}{x}$ A) 0. B) 1. C) -1. D) DNE. Show Answer Correct Answer: B) 1. 16. $\frac{\text{d}}{\text{d}y}\left(\frac{\sin^2x}{4x^2}\right)$ A) $\frac{\sin x\left(x\cos x-\sin x\right)}{2x^3}$. B) $-\frac{\sin x\left(x\cos x+\sin x\right)}{2x^3}$. C) $\frac{x\cos x-\sin^2x}{2x^3}$. D) $\frac{x\cos^2x-\sin^2x}{2x^3}$. E) $-\frac{x\cos x+\sin^2x}{2x^3}$. Show Answer Correct Answer: A) $\frac{\sin x\left(x\cos x-\sin x\right)}{2x^3}$. 17. What is the expression for cos(A-B)? A) Cos A + cos B. B) Cos A + sin B. C) Cos A cos B + sin A sin B. D) Cos A-cos B. Show Answer Correct Answer: C) Cos A cos B + sin A sin B. 18. What is the final equation of the cosine function derived in the video? A) Y = 2 cos(x-90)-2. B) Y = 2 cos(0.5(x + 90)) + 2. C) Y = cos(0.5(x-90))-2. D) Y = 2 cos(0.5(x-90))-2. Show Answer Correct Answer: D) Y = 2 cos(0.5(x-90))-2. 19. Which of the following functions has a range that is $\left(-\infty, \infty\right)$ A) $y=\sin x$. B) $y=2\csc2x$. C) $y=\frac{1}{3}\cot\left(x-\pi\right)$. D) $y=-4\cos\left(3x+\frac{\pi}{2}\right)$. Show Answer Correct Answer: C) $y=\frac{1}{3}\cot\left(x-\pi\right)$. 20. Determine if the trig function shown below has vertical or horizontal stretch or compression. $f\left(x\right)=-3\sin\left(2x+\pi\right)-2$ A) Vertical Stretch by a factor of 1/3. B) Vertical Compression by a factor of 2. C) Horizontal Compression by a factor of 1/2. D) Horizontal Stretch by a factor of 3. Show Answer Correct Answer: C) Horizontal Compression by a factor of 1/2. 21. Sin ( 360$^\circ$-x) = A) Sin x. B) Cos x. C) -sin x. D) -cos x. Show Answer Correct Answer: C) -sin x. 22. Find the exact value of $\sin^{-1}\left(-\frac{1}{2}\right)$ A) $\frac{\pi}{6}$. B) $-\frac{\pi}{4}$. C) $\frac{\pi}{4}$. D) $-\frac{\pi}{6}$. Show Answer Correct Answer: D) $-\frac{\pi}{6}$. 23. Convierta $\frac{1}{5}\pi$ A) 36$^\circ$. B) 39$^\circ$. C) 33$^\circ$. D) 41$^\circ$. Show Answer Correct Answer: A) 36$^\circ$. 24. Which of the relationship between trigonometric functions with its corresponding reference angle is TRUE? A) Sin 167$^\circ$ =-sin 13$^\circ$. B) Cos 258 $^\circ$ = cos 78$^\circ$. C) Cos 127$^\circ$ = cos 53$^\circ$. D) Tan 349$^\circ$ =-tan 11$^\circ$. Show Answer Correct Answer: D) Tan 349$^\circ$ =-tan 11$^\circ$. 25. Please choose the correct sum and difference formula:sin ($\alpha$-$\beta$) = A) Sin $\alpha$ cos $\beta$ + cos $\alpha$ sin $\beta$. B) Sin $\alpha$ cos $\beta$-cos $\alpha$ sin $\beta$. C) Cos $\alpha$ cos $\beta$-sin $\alpha$ sin $\beta$. D) Cos $\alpha$ cos $\beta$ + sin $\alpha$ sin $\beta$. Show Answer Correct Answer: B) Sin $\alpha$ cos $\beta$-cos $\alpha$ sin $\beta$. ← 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