This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Introduction To Trigonometry > Class 10 Maths Chapter 8 Introduction To Trigonometry – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 8 Introduction To Trigonometry Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Sin 2A = 2 sin A is true when A = A) 0$^\circ$. B) 30$^\circ$. C) 45$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: A) 0$^\circ$. 2. What is the ratio for Sine? A) Opp/Hyp. B) Adj/Opp. C) Hyp/Opp. D) Opp/Adj. Show Answer Correct Answer: A) Opp/Hyp. 3. Say 'TRUE' or 'FALSE'If A and B are acute angles such that Cos A > cos B, then A > B A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 4. Trigonometry derived from ..... A) Latin. B) Greek. C) All the above. D) None of the above. Show Answer Correct Answer: B) Greek. 5. If cos 9A = sin A and 9A < 90$^\circ$, then the value of tan 5A is ..... A) $\frac{1}{\sqrt{3}}$. B) $\sqrt{3}$. C) 1. D) 0. Show Answer Correct Answer: C) 1. 6. $\frac{1}{\tan\\theta}$ A) Sec $\theta$. B) Cot $\theta$. C) Cos $\theta$. D) Sin $\theta$. Show Answer Correct Answer: B) Cot $\theta$. 7. Sin 2 A=2 sin A, is true when A is equal to A) 45$^{0}$. B) 30$^{0}$. C) 0$^{0}$. D) 90$^{0}$. Show Answer Correct Answer: C) 0$^{0}$. 8. Calculate tan(84$^\circ$ 26' 11") A) 10.266. B) 11.432. C) 0.707. D) 5.964. Show Answer Correct Answer: A) 10.266. 9. State true/falseThe value of sin(theta) increases as theta increases from 0 deg to 90 deg A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 10. Standard position is when ..... A) The initial side of the angle is on the negative y-axis. B) The initial side of the angle is on the positive y-axis. C) The initial side of the angle is on the negative x-axis. D) The initial side of the angle is on the positive x-axis. Show Answer Correct Answer: D) The initial side of the angle is on the positive x-axis. 11. State true/falsesecA is not defined for A= 90 deg A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 12. Without $^{2} $ a = A) 1-cos $^{2} $ a. B) 1 + cos $^{2} $ a. C) Cos $^{2} $ a-1. D) Cos $^{2} $ a + 1. Show Answer Correct Answer: A) 1-cos $^{2} $ a. 13. Write this angle in degrees, minutes, seconds:206.495 A) 206$^\circ$ 4' 95". B) 206$^\circ$ 38' 22". C) 206$^\circ$ 49' 5". D) 206$^\circ$ 29' 42". Show Answer Correct Answer: D) 206$^\circ$ 29' 42". 14. THE POINT (-3, 2) LIES IN WHICH QUADRANT? A) Q3. B) Kch. C) Vomiting. D) Q1. Show Answer Correct Answer: B) Kch. 15. In a right triangle ABC, the right angle is at B. Which of the following is true about the other two angles A and C? A) There is no restriction on the measure of the angles. B) Both the angles should be obtuse. C) Both the angles should be acute. D) One of the angles is acute and the other is obtuse. Show Answer Correct Answer: C) Both the angles should be acute. 16. If in $\Delta$ $\angle$ $90^0$ A) 1/2. B) -1. C) 0. D) 1. Show Answer Correct Answer: D) 1. 17. If cosec A-cot A = $\frac{4}{5}$ A) $\frac{51}{40}$. B) $\frac{41}{40}$. C) $\frac{59}{40}$. D) $\frac{47}{40}$. Show Answer Correct Answer: B) $\frac{41}{40}$. 18. TRUE or FALSE:'' is the symbol for representing seconds A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 19. Is is possible for a triangle to have two obtuse angles? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 20. Calculate cos(15$^\circ$ 30') A) 0.707. B) 0.964. C) 0.277. D) 0.866. Show Answer Correct Answer: B) 0.964. 21. Ratio of sides of a right triangle with respect to its acute angles are known as A) Trigonometric identities. B) Trigonometry. C) Trigonometric ratios of angles. D) None of these. Show Answer Correct Answer: C) Trigonometric ratios of angles. 22. Cot$^{2}$ A + 1= A) Cos $^{2} $ a. B) COSEC $^{2} $ a. C) Without $^{2} $ a. D) Cot$^{2}$ A. Show Answer Correct Answer: B) COSEC $^{2} $ a. 23. If sin A= $\frac{4}{3}$ A) True. B) False. C) True or false. D) Not true and not false. Show Answer Correct Answer: B) False. 24. In a right angled triangle the side opposite to right angle is called A) Base. B) Perpendicular. C) Hypotenuse. D) None of the above. Show Answer Correct Answer: C) Hypotenuse. 25. What is the reference angle for 63$^\circ$? A) 207$^\circ$. B) 153$^\circ$. C) 117$^\circ$. D) 63$^\circ$. Show Answer Correct Answer: D) 63$^\circ$. 26. If cos A = $\frac{4}{5}$ A) $\frac{3}{5}$. B) $\frac{4}{3}$. C) $\frac{4}{5}$. D) $\frac{3}{4}$. Show Answer Correct Answer: D) $\frac{3}{4}$. 27. From your knowledge of the unit circle or the graphs y=sinx and y=cosx write down the value of cos0$^\circ$. A) -1. B) 2. C) 0. D) 1. Show Answer Correct Answer: D) 1. 28. In what quadrant does-285$^\circ$ lie in? A) III. B) II. C) IV. D) I. Show Answer Correct Answer: D) I. 29. $\sin^2\theta+\cos^2\theta$ A) 10. B) 0. C) 1. D) 5. Show Answer Correct Answer: C) 1. 30. If X and Y are complementary angles then, A) Tanx = Earth. B) CosX = cosY. C) SecX = cosecY. D) Sinx = bucket. Show Answer Correct Answer: C) SecX = cosecY. 31. How many trigonometric ratios are their? A) 7. B) 8. C) 5. D) 6. Show Answer Correct Answer: D) 6. 32. Is 265$^\circ$ a quadrantal angle? A) Yes. B) No. C) Sometimes. D) None of the above. Show Answer Correct Answer: B) No. 33. The value of tan 60$^\circ$/cot 30$^\circ$ is equal to A) 1. B) 0. C) 2. D) 3. Show Answer Correct Answer: A) 1. 34. If cosA = 4/5, then the value of tan A is A) 3/5. B) 4/3. C) 3/4. D) 5/3. Show Answer Correct Answer: C) 3/4. 35. TRUE or FALSE:$^\circ$ is the symbol for representing minutes A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 36. If sin A=cos A, then the value of A is ..... A) $45^0$. B) $90^0$. C) $30^0$. D) $0^0$. Show Answer Correct Answer: A) $45^0$. 37. $3\cot\theta=2$ $\theta$ A) $\frac{2}{3}$. B) $\frac{3}{\sqrt{13}}$. C) $\frac{2}{\sqrt{13}}$. D) $\frac{3}{2}$. Show Answer Correct Answer: B) $\frac{3}{\sqrt{13}}$. 38. Calculate sin(30) A) -0.707. B) 0.707. C) 0.866. D) 0.5. Show Answer Correct Answer: D) 0.5. 39. Which of the following is the correct symbol for representing degrees? A) ''. B) '. C) $^\circ$. D) C. Show Answer Correct Answer: C) $^\circ$. 40. State true/falsecosA is the abbreviation used for the cosecant of angle A A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 41. What is the tangent ratio? A) Opposite over Hypotenuse. B) Adjacent over Hypotenuse. C) Opposite over Adjacent. D) None of the above. Show Answer Correct Answer: C) Opposite over Adjacent. 42. Which of the following statements is true?(i) sin A = 15/8 for some angle A(ii) The value of Sin A (or Cos A) is always less than or equal to 1. (iii) tan A is the product of tan and A. A) Only statement (i). B) Only statement (ii). C) Only statement (iii). D) All the three statements. Show Answer Correct Answer: B) Only statement (ii). 43. What is the reference angle for 125$^\circ$? A) 55$^\circ$. B) 235$^\circ$. C) 75$^\circ$. D) 125$^\circ$. Show Answer Correct Answer: A) 55$^\circ$. 44. If tan2A = cot(A-18$^\circ$), then value of A is A) 18$^\circ$. B) 27$^\circ$. C) 24$^\circ$. D) 36$^\circ$. Show Answer Correct Answer: D) 36$^\circ$. 45. What are the only types of triangles we can use trigonometry with? A) Obtuse. B) Right. C) Acute. D) Any type of triangle. Show Answer Correct Answer: B) Right. 46. Given that sin $\alpha$ = 1/2 and cos $\beta$ = 1/2, then the value of $\alpha$ + $\beta$ is ..... A) 0$^\circ$. B) 90$^\circ$. C) 60$^\circ$. D) 30$^\circ$. Show Answer Correct Answer: B) 90$^\circ$. 47. Calculate cos(30) A) 0.5. B) 0.866. C) -0.707. D) 0.707. Show Answer Correct Answer: B) 0.866. 48. DISTANCE BETWEEN THE POINTS (0, 0) AND (-5, 0) IS ..... UNITS A) 4. B) 2. C) 5. D) -5. Show Answer Correct Answer: C) 5. 49. DISTANCE BETWEEN THE POINTS (3, 0) AND (0, 4) IS ..... UNITS A) $\sqrt{7}$. B) 3. C) 4. D) 5. Show Answer Correct Answer: D) 5. 50. Cos (90 $^\circ$-a) = ..... A) Things. B) Their. C) SecA. D) What. Show Answer Correct Answer: B) Their. 51. Say 'TRUE' or 'FALSE'If A and B are acute angles such that Sin A = Sin B, then A = B A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 52. Factor and Simplify:$\tan^4\left(x\right)+2\tan^2\left(x\right)+1$ A) $\left(\tan\left(x\right)+1\right)^2$. B) $\sec^4\left(x\right)$. C) $\sec^2\left(x\right)$. D) $\left(\tan^2\left(x\right)+1\right)^2$. Show Answer Correct Answer: B) $\sec^4\left(x\right)$. 53. Trigonometry is a branch of mathematics that studies relationships involving lengths and angles of ..... triangles A) Acute. B) Right. C) Equilateral. D) Obtuse. Show Answer Correct Answer: B) Right. 54. What is tan 45$^\circ$? A) 0.75. B) 0.5. C) 1. D) 2. Show Answer Correct Answer: C) 1. 55. Write this angle as a decimal:25$^\circ$ 16' 10" A) 25.269. B) 25.161. C) 25.333. D) 25.483. Show Answer Correct Answer: A) 25.269. 56. In a right angle triangle ABC right angled at B, what will be the sum of angle A and angle B A) 90 degrees. B) 180 degree. C) 45 degree. D) 60 degree. Show Answer Correct Answer: A) 90 degrees. 57. Write this angle as a decimal:209$^\circ$ 10' 20" A) 209.622. B) 209.172. C) 209.332. D) 209.102. Show Answer Correct Answer: B) 209.172. 58. Find a coterminal angle to 5$^\circ$. A) 365$^\circ$. B) -365$^\circ$. C) -220$^\circ$. D) 255$^\circ$. Show Answer Correct Answer: A) 365$^\circ$. 59. What is the side of the right triangle that is opposite to the right angle called? A) Hypotenuse. B) Opposite side. C) Short side. D) Adjacent side. Show Answer Correct Answer: A) Hypotenuse. 60. Which of the following is false A) Tan is not defined for 90 degree. B) Sin maximum value is 1. C) COSEC 30 = 1/2. D) Without 60 = cos 30. Show Answer Correct Answer: C) COSEC 30 = 1/2. Next →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 8 Introduction To Trigonometry Quiz 2Class 10 Maths Chapter 8 Introduction To Trigonometry Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books