This quiz works best with JavaScript enabled. Home > Cbse > Class 10 > Mathematics > Introduction To Trigonometry > Class 10 Maths Chapter 8 Introduction To Trigonometry – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 10 Maths Chapter 8 Introduction To Trigonometry Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of cos1$^{0}$cos2$^{0}$cos3$^{0}$ ..... cos90$^{0}$? A) -1. B) 1. C) 0. D) 2. Show Answer Correct Answer: C) 0. 2. What is trigonometry? A) The study of heptagons. B) The study of squares. C) The study of pentagons. D) The study of triangles. Show Answer Correct Answer: D) The study of triangles. 3. Sin (90$^\circ$-A) and cos A are A) Different. B) Same. C) Not related. D) None of the above. Show Answer Correct Answer: B) Same. 4. In what kind of triangle can you use SOH-CAH-TOA? A) Right triangle. B) Any kind of triangle. C) Any kind of triangle except a right triangle. D) None of the above. Show Answer Correct Answer: A) Right triangle. 5. Which of the following angles are co-terminal to-75$^{o}$? A) 105 $^{O} $, -255 $^{o} $. B) -365 $^{O} $, 75 $^{O} $. C) 285 $^{O} $, -435 $^{O} $. D) 425 $^{O} $, -335 $^{o} $. Show Answer Correct Answer: C) 285 $^{O} $, -435 $^{O} $. 6. 2 Tan 30 $^\circ$/(1 + Tan $^{2} $ 30 $^\circ$) = A) Cos 60$^\circ$. B) Sin 30$^\circ$. C) Sin 60$^\circ$. D) Tan 60$^\circ$. Show Answer Correct Answer: C) Sin 60$^\circ$. 7. What is the value of third angle in a right angle triangle if second angle is of measure of $45^0$ A) 45 degree. B) 30 degree. C) 60 degree. D) 90 degree. Show Answer Correct Answer: A) 45 degree. 8. Which set of sides would make a right triangle? A) 8, 10, 12. B) 4, 5, 6. C) 5, 12, 13. D) 5, 10, 12. Show Answer Correct Answer: C) 5, 12, 13. 9. If you are given 2 of the sides to an obtuse triangle, which trigonometric function should you use to find the other side? A) Sine. B) Cosine. C) Tangent. D) None of the above. Show Answer Correct Answer: D) None of the above. 10. $Is\\sin\left(A+B\right)=SinA+\sin B?$ A) True. B) False. C) Cannot say. D) Partially true or false. Show Answer Correct Answer: B) False. 11. If $\tan\theta=\frac{-1}{\sqrt[]{2}}$ $\theta$ $\sec\theta.$ A) $\frac{\sqrt[]{3}}{3}$. B) $\frac{\sqrt[]{6}}{2}$. C) $-\sqrt[]{3}$. D) $\frac{\sqrt[]{6}}{3}$. Show Answer Correct Answer: B) $\frac{\sqrt[]{6}}{2}$. 12. Do we ever solve a problem using the right angle? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 13. If tanA =4/3, then cotA= ..... A) 1/3. B) 3/4. C) 1/4. D) 4/3. Show Answer Correct Answer: B) 3/4. 14. Is-90$^\circ$ a quadrantal angle? A) Yes. B) No. C) Sometimes. D) None of the above. Show Answer Correct Answer: A) Yes. 15. Which is the trig function relates the opposite side and the adjacent side? A) Sine. B) Cosine. C) Tangent. D) All of the above. Show Answer Correct Answer: C) Tangent. 16. Given that:Sin A = $\frac{a}{b}$ A) $\frac{b}{a}$. B) $\frac{\sqrt{b^2-a^2}}{b}$. C) $\frac{\sqrt{b^2+a^2}}{b}$. D) $\frac{a}{b}$. Show Answer Correct Answer: B) $\frac{\sqrt{b^2-a^2}}{b}$. 17. If A, B and C are interior angles of $\Delta$ $\frac{B+C}{2}$ A) -sin $\frac{A}{2}$. B) -cos $\frac{A}{2}$. C) Cos $\frac{A}{2}$. D) Sin $\frac{A}{2}$. Show Answer Correct Answer: D) Sin $\frac{A}{2}$. 18. If in a Triangle ABC, $\angle C=90^0$ A) 2. B) $\frac{1}{2}$. C) 0. D) 1. Show Answer Correct Answer: D) 1. 19. State true or false $\cos\theta=\frac{base}{hypotenuse}$ A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 20. Which side in a right angle triangle is the biggest side? A) Base of right angle triangle. B) Height of right angle triangle. C) Hypotenuse of right angle triangle. D) All sides can be equal in a right angle triangle. Show Answer Correct Answer: C) Hypotenuse of right angle triangle. 21. What is the helpful phrase we can use to remember the trigonometric ratios/functions? A) Soh Cah Toa. B) Soa coh tah. C) Soh Cah Toa. D) Soh Cah Toa. Show Answer Correct Answer: A) Soh Cah Toa. 22. Without 30+cos 60-tan 45 =? A) 0. B) 1. C) 2. D) None of these. Show Answer Correct Answer: B) 1. 23. Who is the father of trigonometry? A) Euclid. B) Pythagoras. C) Hippogriff. D) Archimedes. E) Hipparchus. Show Answer Correct Answer: E) Hipparchus. 24. True or false:cos (45$^\circ$+ 30$^\circ$) = cos45$^\circ$+ cos30$^\circ$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 25. Is tanA the reciprocal of cotA A) NO. B) YES. C) All the above. D) None of the above. Show Answer Correct Answer: B) YES. 26. Which is the trig function that relates the adjacent side and the hypotenuse? A) Cosine. B) Sine. C) Tangent. D) All of the above. Show Answer Correct Answer: A) Cosine. 27. 1-cos$^{2}$A is equal to A) Without $^{2} $ a. B) So $^{2} $ a. C) Cot$^{2}$A. D) Sec$^{2}$A. Show Answer Correct Answer: A) Without $^{2} $ a. 28. What are the negative and positive coterminal angles of 240$^{}$$^\circ$? A) 425$^\circ$, -240$^\circ$. B) 120$^\circ$, -135$^\circ$. C) 600$^\circ$, -120$^\circ$. D) 540$^\circ$, -120$^\circ$. Show Answer Correct Answer: C) 600$^\circ$, -120$^\circ$. 29. If you are given the two sides that are not the hypotenuse, which trig function should you use? A) Cosine. B) Tangent. C) Cotangent. D) Sine. Show Answer Correct Answer: B) Tangent. 30. In $\Delta$ $\frac{1}{2}$ A) 8 cm. B) 10 cm. C) 12 cm. D) 14 cm. Show Answer Correct Answer: B) 10 cm. 31. If sin A = 1/2 and cos B = 1/2, then A + B =? A) 30$^{0}$. B) 90$^{0}$. C) 60$^{0}$. D) 0$^{0}$. Show Answer Correct Answer: B) 90$^{0}$. 32. If sin A = $\frac{1}{2}$ $\frac{1}{2}$ A) $90^0$. B) $0^0$. C) $30^0$. D) $60^0$. Show Answer Correct Answer: A) $90^0$. 33. If tanA=cot(30$^\circ$+A), then A= ..... A) 90$^\circ$. B) 45$^\circ$. C) 60$^\circ$. D) 30$^\circ$. Show Answer Correct Answer: D) 30$^\circ$. 34. What trigonometric function is the reciprocal of the sine function? A) Secant. B) Cosine. C) Cotangent. D) Cosecant. Show Answer Correct Answer: D) Cosecant. 35. State true/falsecot A is the product of cot and A A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 36. $9\sec^2\theta-9\tan^2\theta= ..... $ A) 8. B) 0. C) 1. D) 9. Show Answer Correct Answer: D) 9. 37. The Pythagorean Theorem ONLY works on which triangle? A) Scalene. B) Isosceles. C) Obtuse. D) Right. Show Answer Correct Answer: D) Right. 38. If cos A = 4/5, then tan A =? A) 4/5. B) 4/3. C) 3/5. D) 3/4. Show Answer Correct Answer: D) 3/4. 39. The value cot$^{2}$ 30$^\circ$-2cos$^{2}$ 60$^\circ$-3/4sec$^{2}$ 45$^\circ$-4sin$^{2 }$30$^\circ$ is A) 1. B) 2. C) 0. D) -1. Show Answer Correct Answer: C) 0. 40. State "TRUE" or "FALSE"sin A =1/sec A A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: B) FALSE. 41. The value of $\sin^230^0\-\\cos^230^0$ A) -3/2. B) 3/2. C) -1/2. D) 1/2. Show Answer Correct Answer: C) -1/2. 42. What is the ratio for Cosine? A) Opp/Adj. B) Adj/Hyp. C) Opp/Hyp. D) Adj/Opp. Show Answer Correct Answer: B) Adj/Hyp. 43. $\left(1-\cos^2\theta\right)\operatorname{cosec}^2\theta$ A) 1. B) 0. C) $\frac{1}{\sqrt{3}}$. D) 2. Show Answer Correct Answer: A) 1. 44. What is the reference angle for 275$^\circ$? A) -95$^\circ$. B) -85$^\circ$. C) 85$^\circ$. D) 95$^\circ$. Show Answer Correct Answer: C) 85$^\circ$. 45. Which is the trig function that relates the opposite side and the hypotenuse? A) Tangent. B) Sine. C) Cosine. D) All of the above. Show Answer Correct Answer: B) Sine. 46. Write this angle in degrees, minutes and seconds:18.62$^\circ$ A) 18$^\circ$ 37' 12". B) 18$^\circ$ 39'. C) 18$^\circ$ 62'. D) 18$^\circ$ 11' 15". Show Answer Correct Answer: A) 18$^\circ$ 37' 12". 47. What angle satisfies the ratio of the adjacent side to the hypotenuse A) Sine. B) Cosine. C) Tangent. D) All of the above. Show Answer Correct Answer: B) Cosine. 48. If cos (A + B) = 0, then sin (A-B) is reduced to ..... A) Without a. B) Sin 2 B. C) Stuff. D) Cos 2 B. Show Answer Correct Answer: D) Cos 2 B. 49. What is the ratio to find sine? A) $\sin\theta=\frac{Opp^2}{Hyp^2}$. B) $\sin\theta=\frac{Adj}{Opp}$. C) $\sin\theta=\frac{Opp}{Hyp}$. D) $\sin\theta=\frac{Adj}{Hyp}$. Show Answer Correct Answer: C) $\sin\theta=\frac{Opp}{Hyp}$. 50. If sin A + sin$^{2}$ A = 1, then cos$^{2}$ A + cos$^{4}$ A =? A) 2. B) 0. C) 4. D) 1. Show Answer Correct Answer: D) 1. 51. $\cos\frac{3}{5}$ $\theta$ A) 3 $\frac{4}{3}$. B) $\frac{5}{13}$. C) $\frac{5}{4}$. D) $\frac{5}{3}$. Show Answer Correct Answer: D) $\frac{5}{3}$. 52. If tan A = $\frac{5}{12}$ A) $\frac{13}{17}$. B) $\frac{25}{169}$. C) $\frac{17}{13}$. D) $\frac{12}{5}$. Show Answer Correct Answer: C) $\frac{17}{13}$. 53. The trigonometric ratios of an acute angle in a right angled triangle express the relationships between the angle and the lengths of the sides of the triangle. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 54. If $\tan\theta=\frac{-1}{\sqrt[]{2}}$ $\theta$ $\operatorname{cosec}\theta.$ A) $-\sqrt[]{3}$. B) $\frac{\sqrt[]{6}}{3}$. C) $\frac{\sqrt[]{6}}{2}$. D) $\frac{\sqrt[]{3}}{3}$. Show Answer Correct Answer: A) $-\sqrt[]{3}$. 55. If sin a = 8/17, The value of seca thing + things what is A) 6/23. B) 8/15. C) 23/8. D) 15/8. Show Answer Correct Answer: C) 23/8. 56. If sinA =1, then cos A is ..... A) 0. B) 1. C) All the above. D) None of the above. Show Answer Correct Answer: A) 0. 57. Sin 2B = 2 sin B is true when B is equal to A) $60^0$. B) $30^0$. C) $0^0$. D) $90^0$. Show Answer Correct Answer: C) $0^0$. 58. Value of (sin30$^\circ$ + cos30$^\circ$)-(sin 60$^\circ$ + cos60$^\circ$) is A) 2. B) 1. C) -1. D) 0. Show Answer Correct Answer: D) 0. 59. If 3 cot $\theta$ $\theta$ A) $\frac{3}{\sqrt{13}}$. B) $\frac{2}{\sqrt{13}}$. C) $\frac{2}{3}$. D) $\frac{3}{2}$. Show Answer Correct Answer: D) $\frac{3}{2}$. 60. $\left(1-\sin\theta\right)\left(1+\sin\theta\right)= ..... $ A) $\sin^2\theta$. B) $\sec^2\theta$. C) $\tan$. D) $\cos^2\theta$. Show Answer Correct Answer: D) $\cos^2\theta$. ← PreviousNext →Related QuizzesMathematics QuizzesClass 10 QuizzesClass 10 Maths Chapter 8 Introduction To Trigonometry Quiz 1Class 10 Maths Chapter 8 Introduction To Trigonometry Quiz 3 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books