This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Principal branch of $\tan^{-1}x$ A) $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$. B) $\left[\frac{-\pi}{2}, \frac{\pi}{2}\right]$. C) $\left[0, \pi\right]$. D) $\left(0, \pi\right)$. Show Answer Correct Answer: A) $\left(\frac{-\pi}{2}, \frac{\pi}{2}\right)$. 2. If A is matrix of order mxn and B is a matrix such that AB' and B'A are both defined then order of matrix B is A) Mxm. B) Nxn. C) Nxm. D) Mxn. Show Answer Correct Answer: D) Mxn. 3. Find the exact value of $\cos^{-1}\left(\tan\\frac{\pi}{4}\right)$ A) $\frac{\sqrt{2}}{2}$. B) 1. C) 0. D) $-\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: C) 0. 4. What is the period of the parent functions of sin and cos functions? A) 2 $\pi$. B) 1. C) 1/ $\pi$. D) 2. Show Answer Correct Answer: A) 2 $\pi$. 5. What is the reference angle for-30$^\circ$? A) 150$^\circ$. B) 30$^\circ$. C) 80$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: B) 30$^\circ$. 6. Solve the trigonometric equation:$\tan^2\left(x\right)+2\tan\left(x\right)=-1$ A) $\frac{\pi}{4}, \frac{5\pi}{4}$. B) $\frac{2\pi}{3}, \frac{5\pi}{3}$. C) $\frac{7\pi}{6}, \frac{\pi}{6}$. D) $\frac{3\pi}{4}, \frac{7\pi}{4}$. Show Answer Correct Answer: D) $\frac{3\pi}{4}, \frac{7\pi}{4}$. 7. Find the Principal Value of $\tan^{-1}\left(\tan\frac{3\pi}{4}\right)$ A) $-\frac{\pi}{4}$. B) $\frac{3\pi}{4}$. C) $-\pi$. D) $-\frac{5\pi}{4}$. Show Answer Correct Answer: A) $-\frac{\pi}{4}$. 8. Minimum value of sine function is ..... A) -1. B) 1. C) None. D) None of the above. Show Answer Correct Answer: A) -1. 9. Using the reference angle, find the exact value of $\tan\left(\frac{5\pi}{3}\right)$ A) $-\frac{\sqrt[]{3}}{3}$. B) $-1$. C) $-\sqrt[]{3}$. D) $\sqrt[]{3}$. Show Answer Correct Answer: C) $-\sqrt[]{3}$. 10. Which functions are discussed as having their values derived from the complementary angle? A) Tangent and Cotangent. B) Secant and Cosecant. C) All of the above. D) Sine and Cosine. Show Answer Correct Answer: C) All of the above. 11. What is the domain of the inverse cotangent function? A) $\left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$. B) $\left[0, \pi\right]$. C) $\left(-\infty, +\infty\right)$. D) $\left(-1, 1\right)$. Show Answer Correct Answer: C) $\left(-\infty, +\infty\right)$. 12. What is sin$^{-1}$(1/2)? A) 150. B) 120. C) 60. D) 30. Show Answer Correct Answer: D) 30. 13. What does the acronym stand for? A) Circles Are Trig Systems (CAST). B) All Students Study Trigonometry (ASST). C) All Students Take Calculus (ASTC). D) All Slopes Track Sine (ASTS). Show Answer Correct Answer: C) All Students Take Calculus (ASTC). 14. Find the exact value. $\sin\left(\frac{10\pi}{3}\right)$ A) $-\frac{1}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $\frac{1}{2}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: D) $-\frac{\sqrt{3}}{2}$. 15. $\frac{\text{d}}{\text{d}y}\left(\frac{\sin x}{x^2}\right)$ A) $\frac{x\cos x-2\sin x}{x^3}$. B) $-\frac{x\cos x+2\sin x}{x^3}$. C) $\frac{x\cos x+2\sin x}{x^3}$. D) $\frac{-x\cos x+2\sin x}{x^3}$. E) $\frac{x\cos x-2\sin x}{x^4}$. Show Answer Correct Answer: A) $\frac{x\cos x-2\sin x}{x^3}$. 16. The reciprocal of sine is the ..... A) Secant. B) Cosecant. C) Cotangent. D) Cosine. Show Answer Correct Answer: B) Cosecant. 17. Which are the restrictions of the domain and range of the inverse function:$y=\sin^{-1}x$ A) D:$-1\le x\le1$ $0\le y\le\pi$. B) D:$-\infty\le x\le\infty$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. C) D:$-1\le x\le1$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. D) D:$-\infty\le x\le\infty$ $0\le y\le\pi$. Show Answer Correct Answer: C) D:$-1\le x\le1$ $-\frac{\pi}{2}\le y\le\frac{\pi}{2}$. 18. What is the amplitude of the function y=9cos3x A) 9. B) -9. C) 3. D) -3. Show Answer Correct Answer: A) 9. 19. What is the period of this function, in degrees?y = sin(4x) + 5 A) 180. B) 45. C) 90. D) 30. Show Answer Correct Answer: C) 90. 20. What is the relation between 1 radian and degrees? A) 180 degrees. B) 45 degrees. C) 90 degrees. D) 360 degrees. Show Answer Correct Answer: A) 180 degrees. 21. Tan 270 A) 0. B) 1. C) -1. D) Undefined. Show Answer Correct Answer: D) Undefined. 22. Find the sec $\left(\pi\right)$ A) $1$. B) $0$. C) $-1$. D) $Undefined$. Show Answer Correct Answer: C) $-1$. 23. Which of the following would be the general form of a complete sine function? A) $y=\pm a\sin\left(\pm bx\pm c\right)\pm d$. B) $y=\sin\left(\pm bx\pm c\right)\pm d$. C) $y=\pm a\sin\left(\pm bx\right)\pm d$. D) $y=\pm a\sin\left(\pm bx\pm c\right)$. Show Answer Correct Answer: A) $y=\pm a\sin\left(\pm bx\pm c\right)\pm d$. 24. The horizontal length required to complete one cycle is called ..... A) Amplitude. B) Cycle. C) Horizontal shift. D) Period. Show Answer Correct Answer: D) Period. 25. Based on your unit circle sin(0$^{o}$)= A) 1. B) -1. C) 0. D) 1/2. Show Answer Correct Answer: C) 0. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books