This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 24 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 24 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. It is given that cos = k, where k is a constant and 0 < x < 90. Find in terms of k for sin 2x A) 2k $\sqrt{1-k^2}$. B) -2k $\sqrt{1-k^2}$. C) 2k. D) $\sqrt{k^2-1}$. Show Answer Correct Answer: A) 2k $\sqrt{1-k^2}$. 2. Cotangent is defined as A) Opposite/hypotenuse. B) Adjacent/hypotenuse. C) Opposite/adjacent. D) Adjacent/opposite. Show Answer Correct Answer: D) Adjacent/opposite. 3. Principal value branch of $\sec^{-1}\left(-2\right)$ A) $\frac{-2\pi}{3}$. B) $\frac{\pi}{3}$. C) $\frac{2\pi}{3}$. D) $\frac{-\pi}{3}$. Show Answer Correct Answer: C) $\frac{2\pi}{3}$. 4. If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative. III, $\frac{x}{r}$ A) Positive. B) Negative. C) All the above. D) None of the above. Show Answer Correct Answer: B) Negative. 5. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\csc\left(\cos^{-1}\left(\frac{9}{41}\right)\right)=R$ $R$ A) $\frac{41}{40}$. B) 4041 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{41}{40}$. 6. What is the sine of pi/2? A) 0. B) 1. C) $\frac{1}{2}$. D) $\sqrt{2}$. Show Answer Correct Answer: B) 1. 7. The derivative of sin2x with respect to x is A) 2 cos x. B) 2 cos 2x. C) -2 cos x. D) -2 cos 2x. Show Answer Correct Answer: B) 2 cos 2x. 8. WHAT DO YOU CALL THE LONGEST SIDE OF A RIGHT TRIANGLE? A) HYPOTHESIS. B) HYPOTENUSE. C) HYPOTHENUSE. D) HYPOTENSE. Show Answer Correct Answer: B) HYPOTENUSE. 9. The study of trigonometry was started first in A) Europe. B) Greece. C) India. D) China. Show Answer Correct Answer: C) India. 10. What is the exact value of $\tan\left(\pi\right)$ A) Undefined. B) 1. C) 0. D) -1. Show Answer Correct Answer: C) 0. 11. What is the exact value of $\sin\left(\frac{13\pi}{6}\right)$ A) $\frac{1}{2}$. B) $\frac{\sqrt{2}}{2}$. C) $\frac{\sqrt{3}}{2}$. D) $2$. Show Answer Correct Answer: A) $\frac{1}{2}$. 12. Which of the following functions has a domain that is $\left(-\infty, \infty\right)$ A) $y=-2\cos\left(4x+2\pi\right)$. B) $y=\sec\left(3x-\pi\right)+2$. C) $y=4\tan\left(4x+\frac{\pi}{3}\right)$. D) None of the above. Show Answer Correct Answer: A) $y=-2\cos\left(4x+2\pi\right)$. 13. How do you know which side is the OPPOSITE? A) It is next to the right angle. B) It is opposite the right angle. C) It is across from the angle. D) It is the bottom leg of the triangle. Show Answer Correct Answer: C) It is across from the angle. 14. Which of the following parent functions is not continuous? A) Y=sin(x). B) Y=cos(x). C) Y=tan(x). D) All of these are continuous. Show Answer Correct Answer: C) Y=tan(x). 15. What trigonometric function is primarily discussed in the video? A) Cosine. B) Sine. C) Tangent. D) Cotangent. Show Answer Correct Answer: A) Cosine. 16. What are the 3 basic trigonometric functions? A) Sine, cosine, and cotangent. B) Sine, cotangent, and cosecant. C) Sine, cosine, and tangent. D) Cosecant, cosine, and cotangent. Show Answer Correct Answer: C) Sine, cosine, and tangent. 17. Find the exact value of $\sin\frac{7\pi}{6}$ A) -2. B) 0. C) $-\frac{1}{2}$. D) $-\frac{2\sqrt{3}}{3}$. Show Answer Correct Answer: C) $-\frac{1}{2}$. 18. Find dy/dx for y= cos 4x A) Dy/dx =-4 sin 4x. B) Dy/dx=sin 4x. C) Dy/dx =-4 cos 4x. D) Dy/dx = 4 sin 4x. Show Answer Correct Answer: A) Dy/dx =-4 sin 4x. 19. $\sin\\frac{\pi}{4}$ A) $\frac{\sqrt{2}}{2}$. B) $\frac{1}{2}$. C) $\frac{\sqrt{3}}{2}$. D) $0$. Show Answer Correct Answer: A) $\frac{\sqrt{2}}{2}$. 20. $Q\left(8\right)\\lim_{x\rightarrow0}\\frac{\sin x\\cos x}{x}$ A) 1. B) 0. C) -1. D) -2. Show Answer Correct Answer: A) 1. 21. Find the Principal Value of $\operatorname{cosec}^{-1}\left(-\sqrt{2}\right)$ A) $\pi$. B) $\frac{\pi}{2}$. C) $-\frac{\pi}{4}$. D) $0$. Show Answer Correct Answer: C) $-\frac{\pi}{4}$. 22. Sinx=0 A) 0. B) 30. C) 45. D) 90. Show Answer Correct Answer: A) 0. 23. Checkpoint 7c:Use reference angles to find the exact value of sec( $-\frac{\pi}{6}$ A) $\frac{2\sqrt{3}}{3}$. B) 323 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{2\sqrt{3}}{3}$. 24. $\tan\left(360-\theta\right)=$ A) $\cot\\theta$. B) $\tan\\theta$. C) $-\tan\\theta$. D) $-\cot\\theta$. Show Answer Correct Answer: C) $-\tan\\theta$. 25. Find the exact value of $\cos^{-1}\left(-\frac{1}{2}\right)$ A) $\frac{2\pi}{3}$. B) $-\frac{\pi}{3}$. C) $\frac{\pi}{6}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: A) $\frac{2\pi}{3}$. ← 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