This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 28 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 28 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. In the following question a statement of Assertion (A) is followed by a statement of Reason (R). Pick the correct option: A) Both A and R are true and R is the correct explanation of A. B) Both A and R are true but R is not the correct explanation of A. C) A is true but R is false. D) A is false but R is true. E) Both A and R are false. Show Answer Correct Answer: A) Both A and R are true and R is the correct explanation of A. 2. What is the reference angle for 330 degrees? A) 30 degrees. B) 330 degrees. C) 150 degrees. D) 60 degrees. Show Answer Correct Answer: A) 30 degrees. 3. Which of the following is equivalent to $89^o11'15"$ A) 89.5 degrees. B) 89.4 degrees. C) 89.1 degrees. D) 89.2 degrees. Show Answer Correct Answer: D) 89.2 degrees. 4. Find the exact value of $\tan^{-1}\left(-1\right)$ A) $\frac{\pi}{4}$. B) $\frac{3\pi}{4}$. C) $-\frac{\pi}{4}$. D) $\frac{7\pi}{4}$. Show Answer Correct Answer: C) $-\frac{\pi}{4}$. 5. The derivative, $f'\left(x\right)$ $f\left(x\right)=\sin\left(2x^2\right)$ A) $4x\cos\left(2x^2\right)$. B) $\cos\left(2x^2\right)$. C) $-\cos\left(2x^2\right)$. D) $-4x\cos\left(2x^2\right)$. Show Answer Correct Answer: A) $4x\cos\left(2x^2\right)$. 6. Which of the following statements are true?I. cot 0$^\circ$ = 1 II. tan 180$^\circ$ = 0 III. cos 90$^\circ$ =-1 A) I. B) II. C) III. D) I and III. E) I, II and III. Show Answer Correct Answer: B) II. 7. Find arcsin 0 A) 90$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: E) 0$^\circ$. 8. To use the Pythagorean Theorem, we need ..... A) A triangle with 2 known angles. B) A right triangle with 2 known angles. C) A triangle with 2 known sides. D) A right triangle with 2 known sides. Show Answer Correct Answer: D) A right triangle with 2 known sides. 9. Unit for measurement of angle? A) Radian. B) Length. C) Height. D) Mole. Show Answer Correct Answer: A) Radian. 10. What is the formula for sin(C-D)? A) Sin C cos D-cos C sin D. B) Sin C sin D. C) Sin C-sin D. D) Sin C + sin D. Show Answer Correct Answer: A) Sin C cos D-cos C sin D. 11. The period of a function is A) The length of one cycle. B) How high and low the function goes from the center line. C) The range of the function. D) None of the above. Show Answer Correct Answer: A) The length of one cycle. 12. $\tan^2\left(\sec^{-1}2\right)+\cot^2\left(\operatorname{cosec}^{-1}2\right)=$ A) 15. B) 13. C) 3. D) 11. Show Answer Correct Answer: D) 11. 13. For the function y = |sin x-2|, it has A) Maximum value of 3minimum value of 1. B) Maximum value of 2 minimum value of 0. C) Maximum value of 1minimum value of-3. D) Maximum value of 2minimum value of-2. Show Answer Correct Answer: A) Maximum value of 3minimum value of 1. 14. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\cos\left(4x\right)$ A) -2 sin (4x). B) 2 sin (4x). C) -8 sin (4x). D) 8 sin (4x). Show Answer Correct Answer: C) -8 sin (4x). 15. The domain of trigonometric functions can be restricted to any one of their branch (not necessarily principal value) in order to obtain their inverse functions. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 16. How many radians does a circle have? A) 360 degrees. B) 2pi radians. C) Pi radians. D) $^{2 radians}$. Show Answer Correct Answer: B) 2pi radians. 17. How do you recognise the opposite side? A) It is opposite the angle involved. B) It is opposite the right angle. C) It is opposite the hypotenuse. D) There are no sides called opposite. Show Answer Correct Answer: A) It is opposite the angle involved. 18. A right angled triangle has sides 6cm, 8cm and 10cm long. Which side is the hypotenuse? A) The 10cm. B) The 6cm. C) The 8cm. D) In a right angled triangle there is no hypotenuse. Show Answer Correct Answer: A) The 10cm. 19. What is the definition for cosecant (csc)? A) Y/r. B) R/x. C) R/y. D) Y/x. Show Answer Correct Answer: C) R/y. 20. Evaluate:$\sec\left(\frac{17\pi}{4}\right)$ A) $\frac{-\sqrt[]{3}}{2}$. B) $-\sqrt[]{2}$. C) $\sqrt[]{2}$. D) $1$. Show Answer Correct Answer: C) $\sqrt[]{2}$. 21. TRIG RATIOS OF INVERSE TRIG FUNCTIONS $\sec\left(\sin^{-1}\left(-\frac{15}{113}\right)\right)=R$ $R$ A) $\frac{113}{112}$. B) 112113 Mathematical EquivalenceOFF. C) All the above. D) None of the above. Show Answer Correct Answer: A) $\frac{113}{112}$. 22. $\cos\left(\frac{27\pi}{4}\right)=$ A) $-\frac{\sqrt{2}}{2}$. B) $\frac{\sqrt{3}}{2}$. C) $\frac{\sqrt{2}}{2}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: A) $-\frac{\sqrt{2}}{2}$. 23. The coordinates of two points are A(3, 4) and B(9, 12). Find the magnitude of AB A) 10. B) 16. C) 81. D) 100. Show Answer Correct Answer: A) 10. 24. Find the sec $\left(\frac{11\pi}{6}\right)$ A) $-\frac{\sqrt[]{3}}{2}$. B) $Undefined$. C) $-\sqrt[]{2}$. D) $\frac{2\sqrt[]{3}}{3}$. Show Answer Correct Answer: D) $\frac{2\sqrt[]{3}}{3}$. 25. Sin (x+y)= A) Sin x cos y + cos x sin y. B) Sin x + sin y. C) Cos x + sin y. D) (cos y + cos x)-sin x-sin y. Show Answer Correct Answer: A) Sin x cos y + cos x sin y. ← 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