This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Give the y-intercept of tangent. A) 0. B) 1. C) -1. D) None. Show Answer Correct Answer: A) 0. 2. A cosecant function has a period of $4\pi$ A) $y=\csc\left(4\pi x\right)$. B) $y=\csc\left(4x\right)$. C) $y=\csc\left(\frac{x}{4}\right)$. D) $y=\csc\left(\frac{x}{2}\right)$. Show Answer Correct Answer: D) $y=\csc\left(\frac{x}{2}\right)$. 3. What is the trigonometric function for cosec x? A) 1/sin x. B) Sin x. C) Cos x. D) 1/cos x. Show Answer Correct Answer: A) 1/sin x. 4. If the arcs of the same lengths in two circles subtend angles 65$^\circ$and 110$^\circ$ at the centre, find the ratio of their radii. A) 22:13. B) 13:22. C) 65:110. D) None of these. Show Answer Correct Answer: A) 22:13. 5. Cos( $\pi$ A) 0. B) Cos x. C) -cos x. D) Cos-x. Show Answer Correct Answer: C) -cos x. 6. Branch of cosec$^{-1}$x other than the principal value branch is A) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]$. B) $\left[\frac{\pi}{2}, \frac{3\pi}{2}\right]$. C) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\left\{0\right\}$. D) $\left[\frac{\pi}{2}, \frac{3\pi}{2}\right]-\left\{\pi\right\}$. Show Answer Correct Answer: D) $\left[\frac{\pi}{2}, \frac{3\pi}{2}\right]-\left\{\pi\right\}$. 7. Find $\csc\left(\theta\right)$ $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$ $\sin\left(\theta\right)<0$ A) $-\sqrt{17}$. B) $-4$. C) $\frac{1}{4}$. D) $\frac{\sqrt{17}}{17}$. Show Answer Correct Answer: A) $-\sqrt{17}$. 8. Which expression is equivalent to the trigonometric expression $\frac{1}{\left(1-\cos\left(\theta\right)\right)\cdot\left(1+\cos\left(\theta\right)\right)}$ A) $\sin^2\left(\theta\right)$. B) $\cos^2\left(\theta\right)$. C) $\sec^2\left(\theta\right)$. D) $\csc^2\left(\theta\right)$. Show Answer Correct Answer: D) $\csc^2\left(\theta\right)$. 9. Convert 100$^\circ$ to radians A) $\frac{5\pi}{9}$. B) $\frac{\pi}{2}$. C) $\frac{5\pi}{8}$. D) $\frac{5\pi}{6}$. Show Answer Correct Answer: A) $\frac{5\pi}{9}$. 10. $\lim_{x\rightarrow0}\\frac{5x^2-7x+3\sin x}{2x}$ A) 2. B) -2. C) 3. D) -3. Show Answer Correct Answer: B) -2. 11. What is the period of the function $y=-2\tan\left(3x+\pi\right)+1$ A) $\pi$. B) $2\pi$. C) $\frac{2\pi}{3}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: D) $\frac{\pi}{3}$. 12. Cosine graph is symmetrical about ..... A) X axis. B) Y axis. C) Origin. D) None of the above. Show Answer Correct Answer: B) Y axis. 13. Find arcsin $\frac{\sqrt[]{2}}{2}$ A) 90$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: D) 45$^\circ$. 14. $\lim_{x\rightarrow0}\\\frac{1-\cos\left(3x\right)}{3x}$ A) -1. B) 1. C) 0. D) $\infty$. Show Answer Correct Answer: C) 0. 15. Find arctan $\sqrt[]{3}$ A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: C) 60$^\circ$. 16. Evaluate:$\csc\left(6\pi\right)$ A) $1$. B) $-1$. C) $0$. D) $undefined$. Show Answer Correct Answer: D) $undefined$. 17. If xy<1, then $\tan^{-1}x+\tan^{-1}y= ..... $ A) $\tan^{-1}\left(\frac{x-y}{1+xy}\right)$. B) $\tan^{-1}\left(\frac{x+y}{1-xy}\right)$. C) $\pi+\tan^{-1}\left(\frac{x+y}{1-xy}\right)$. D) $\pi-\tan^{-1}\left(\frac{x+y}{1-xy}\right)$. Show Answer Correct Answer: B) $\tan^{-1}\left(\frac{x+y}{1-xy}\right)$. 18. Convert 150$^\circ$ to radians A) $\frac{5\pi}{6}$. B) $\frac{3\pi}{4}$. C) $\frac{7\pi}{6}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: A) $\frac{5\pi}{6}$. 19. How many cycles are completed in 1 unit interval. A) Period. B) Frequency. C) Axis of Oscillation. D) Amplitude. Show Answer Correct Answer: B) Frequency. 20. What is the period of $y=\tan\left(3x\right)$ A) $6\pi$. B) $3\pi$. C) $\frac{\pi}{3}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: C) $\frac{\pi}{3}$. 21. Find the principal value of $\cos^{-1}\left(\cos\frac{13\pi}{6}\right)$ A) $\frac{5\pi}{6}$. B) $\frac{13\pi}{6}$. C) $\frac{\pi}{3}$. D) $\frac{\pi}{6}$. Show Answer Correct Answer: D) $\frac{\pi}{6}$. 22. What is the formula for Sine? A) Adjacent/Opposite. B) Adjacent/Hypotenuse. C) Opposite/Adjacent. D) Opposite/Hypotenuse. Show Answer Correct Answer: D) Opposite/Hypotenuse. 23. If in a circle of radius r, an arc of length l, subtends an angle of theta randias, then the value of length is A) R $\theta$. B) R / $\theta$. C) $\theta$. D) 0. Show Answer Correct Answer: A) R $\theta$. 24. What is the formula for Tangent? A) Adjacent/Opposite. B) Adjacent/Hypotenuse. C) Opposite/Adjacent. D) Opposite/Hypotenuse. Show Answer Correct Answer: C) Opposite/Adjacent. 25. Cosx=1 Find the Angle in degrees A) 0. B) 30. C) 45. D) 90. Show Answer Correct Answer: A) 0. 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