This quiz works best with JavaScript enabled. Home > Class 10 > Class 10 Maths Chapter 8 Introduction To Trigonometry β Quiz 5 π Homepage π Download PDF Books π Premium PDF Books Class 10 Maths Chapter 8 Introduction To Trigonometry Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If cos A = 4/5, then tan A =? A) 3/5. B) 3/4. C) 4/3. D) 4/5. Show Answer Correct Answer: B) 3/4. 2. The value cot$^{2}$ 30$^\circ$-2cos$^{2}$ 60$^\circ$-3/4sec$^{2}$ 45$^\circ$-4sin$^{2 }$30$^\circ$ is A) 2. B) -1. C) 1. D) 0. Show Answer Correct Answer: D) 0. 3. 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. 4. The value of $\sin^230^0\-\\cos^230^0$ A) 1/2. B) -1/2. C) 3/2. D) -3/2. Show Answer Correct Answer: B) -1/2. 5. What is the ratio for Cosine? A) Opp/Hyp. B) Opp/Adj. C) Adj/Opp. D) Adj/Hyp. Show Answer Correct Answer: D) Adj/Hyp. 6. What is the cosine ratio? A) Opposite over Hypotenuse. B) Opposite over Adjacent. C) Adjacent over Hypotenuse. D) None of the above. Show Answer Correct Answer: C) Adjacent over Hypotenuse. 7. $\left(1-\cos^2\theta\right)\operatorname{cosec}^2\theta$ A) 0. B) 1. C) $\frac{1}{\sqrt{3}}$. D) 2. Show Answer Correct Answer: B) 1. 8. What is the reference angle for 275$^\circ$? A) 85$^\circ$. B) 95$^\circ$. C) -85$^\circ$. D) -95$^\circ$. Show Answer Correct Answer: A) 85$^\circ$. 9. 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. 10. Write this angle in degrees, minutes and seconds:18.62$^\circ$ A) 18$^\circ$ 62'. B) 18$^\circ$ 39'. C) 18$^\circ$ 11' 15". D) 18$^\circ$ 37' 12". Show Answer Correct Answer: D) 18$^\circ$ 37' 12". 11. 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. 12. If cos (A + B) = 0, then sin (A-B) is reduced to ..... A) Stuff. B) Cos 2 B. C) Without a. D) Sin 2 B. Show Answer Correct Answer: B) Cos 2 B. 13. What is the ratio to find sine? A) $\sin\theta=\frac{Adj}{Opp}$. B) $\sin\theta=\frac{Adj}{Hyp}$. C) $\sin\theta=\frac{Opp^2}{Hyp^2}$. D) $\sin\theta=\frac{Opp}{Hyp}$. Show Answer Correct Answer: D) $\sin\theta=\frac{Opp}{Hyp}$. 14. If sin A + sin$^{2}$ A = 1, then cos$^{2}$ A + cos$^{4}$ A =? A) 0. B) 1. C) 2. D) 4. Show Answer Correct Answer: B) 1. 15. $\cos\frac{3}{5}$ $\theta$ A) $\frac{5}{3}$. B) 3 $\frac{4}{3}$. C) $\frac{5}{4}$. D) $\frac{5}{13}$. Show Answer Correct Answer: A) $\frac{5}{3}$. 16. If $\Delta ABC$ A) 0. B) 1. C) $\frac{1}{2}$. D) $\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: A) 0. 17. If tan A = $\frac{5}{12}$ A) $\frac{13}{17}$. B) $\frac{17}{13}$. C) $\frac{12}{5}$. D) $\frac{25}{169}$. Show Answer Correct Answer: B) $\frac{17}{13}$. 18. 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. 19. If $\tan\theta=\frac{-1}{\sqrt[]{2}}$ $\theta$ $\operatorname{cosec}\theta.$ A) $\frac{\sqrt[]{6}}{2}$. B) $\frac{\sqrt[]{6}}{3}$. C) $-\sqrt[]{3}$. D) $\frac{\sqrt[]{3}}{3}$. Show Answer Correct Answer: C) $-\sqrt[]{3}$. 20. If sin a = 8/17, The value of seca thing + things what is A) 23/8. B) 15/8. C) 8/15. D) 6/23. Show Answer Correct Answer: A) 23/8. 21. 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. 22. Sin30=? A) 1. B) $\sqrt{\frac{1}{4}}$. C) $\sqrt{3}$. D) $\frac{\sqrt{2}}{2}$. Show Answer Correct Answer: B) $\sqrt{\frac{1}{4}}$. 23. What is the sine ratio? A) Opposite over Hypotenuse. B) Adjacent over Hypotenuse. C) Opposite over Adjacent. D) None of the above. Show Answer Correct Answer: A) Opposite over Hypotenuse. 24. Sin 2B = 2 sin B is true when B is equal to A) $90^0$. B) $60^0$. C) $0^0$. D) $30^0$. Show Answer Correct Answer: C) $0^0$. 25. Value of (sin30$^\circ$ + cos30$^\circ$)-(sin 60$^\circ$ + cos60$^\circ$) is A) -1. B) 0. C) 1. D) 2. 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