This quiz works best with JavaScript enabled. Home > English Grammar > Grammar > Advanced > Reciprocal Trigonometric Functions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Reciprocal Trigonometric Functions Quiz 1 (26 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the reference angle for-30$^\circ$? A) 80$^\circ$. B) 150$^\circ$. C) 30$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: C) 30$^\circ$. 2. If $\tan \theta = 1$ $\cot \theta$ A) $1$. B) Undefined. C) $0$. D) $-1$. Show Answer Correct Answer: A) $1$. 3. Given the Cos(x) =-2/3, then the Sec(x) =? A) 2/3. B) 3/2. C) -3/2. D) -2/3. Show Answer Correct Answer: C) -3/2. 4. Secant is the reciprocal of what function? A) Tangent. B) Sine. C) Cosecant. D) Cosine. Show Answer Correct Answer: D) Cosine. 5. Which of the following statements is true for all $\theta$ A) $\sec \theta = \frac{1}{\tan \theta}$. B) $\sec \theta = \frac{1}{\sin \theta}$. C) $\csc \theta = \frac{1}{\cos \theta}$. D) $\cot \theta = \frac{\cos \theta}{\sin \theta}$. Show Answer Correct Answer: D) $\cot \theta = \frac{\cos \theta}{\sin \theta}$. 6. What is the reciprocal of the sine function? A) Cotangent. B) Secant. C) Cosecant. D) Cosine. Show Answer Correct Answer: C) Cosecant. 7. What is the value of $\sec\left(\frac{\pi}{3}\right)$ A) $1$. B) $2$. C) $2$. D) $2$. Show Answer Correct Answer: B) $2$. 8. Given the Cosec x = 1, then the Sin x =? A) Undefined. B) -1. C) 1. D) 0. Show Answer Correct Answer: C) 1. 9. What is the reference angle for $\frac{4\pi}{3}$ A) $\frac{\pi}{4}$. B) $\frac{\pi}{6}$. C) $\frac{7\pi}{6}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: D) $\frac{\pi}{3}$. 10. What is the value of $\csc\left(\frac{\pi}{2}\right)$ A) Undefined. B) $0$. C) $-1$. D) $1$. Show Answer Correct Answer: D) $1$. 11. In which quadrant is-570$^\circ$ A) II. B) III. C) IV. D) I. Show Answer Correct Answer: A) II. 12. What is the value of $\csc\left(\frac{3\pi}{2}\right)$ A) Undefined. B) $0$. C) $1$. D) $-1$. Show Answer Correct Answer: D) $-1$. 13. Which of the following angles in radians makes $\cot \theta$ A) $\pi$. B) $\frac{3\pi}{2}$. C) $0$. D) $\frac{\pi}{2}$. Show Answer Correct Answer: C) $0$. 14. Find $\csc\left(\theta\right)$ $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$ $\sin\left(\theta\right)<0$ A) $-4$. B) $-\sqrt{17}$. C) $\frac{1}{4}$. D) $\frac{\sqrt{17}}{17}$. Show Answer Correct Answer: B) $-\sqrt{17}$. 15. Cotangent is the reciprocal of what function? A) Sine. B) Cosine. C) Cosecant. D) Tangent. Show Answer Correct Answer: D) Tangent. 16. Find $\tan\left(\theta\right)$ $\sin\left(\theta\right)=-\frac{3}{5}$ $\cos\left(\theta\right)>0$ A) $\frac{4}{3}$. B) $\frac{4}{5}$. C) $-\frac{3}{4}$. D) $-\frac{5}{3}$. Show Answer Correct Answer: C) $-\frac{3}{4}$. 17. What is sin$^{-1}$(1/2)? A) 120. B) 150. C) 30. D) 60. Show Answer Correct Answer: C) 30. 18. Given the Csc(x) = 1, then the Sin(x) =? A) 0. B) -1. C) 1. D) Undefined. Show Answer Correct Answer: C) 1. 19. 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. 20. Which reciprocal trigonometric function is undefined at $\theta = \pi$ A) $\sec \theta$. B) $\csc \theta$. C) $\cot \theta$. D) None of the above. Show Answer Correct Answer: B) $\csc \theta$. 21. Which of the following is the reciprocal of $\tan \theta$ A) $\cot \theta$. B) $\sec \theta$. C) $\sin \theta$. D) $\cos \theta$. Show Answer Correct Answer: A) $\cot \theta$. 22. If $\sin \theta = \frac{\sqrt{3}}{2}$ $0 < \theta < \pi$ $\csc \theta$ A) $2$. B) $\sqrt{3}$. C) $\frac{\sqrt{3}}{2}$. D) $\frac{2\sqrt{3}}{3}$. Show Answer Correct Answer: D) $\frac{2\sqrt{3}}{3}$. 23. Find a coterminal angle to-27$^\circ$. A) -387$^\circ$. B) -393$^\circ$. C) 323$^\circ$. D) 27$^\circ$. Show Answer Correct Answer: A) -387$^\circ$. 24. What is the value of $\sec(\pi)$ A) $1$. B) Undefined. C) $0$. D) $-1$. Show Answer Correct Answer: D) $-1$. 25. If $\theta = \frac{\pi}{4}$ $\cot \theta$ A) $\sqrt{2}$. B) $-1$. C) $0$. D) $1$. Show Answer Correct Answer: D) $1$. 26. What is the reference angle for 125$^\circ$? A) 235$^\circ$. B) 125$^\circ$. C) 75$^\circ$. D) 55$^\circ$. Show Answer Correct Answer: D) 55$^\circ$. Related QuizzesGrammar QuizzesEnglish Grammar QuizzesCase Marking QuizCase System QuizFunctional Grammar QuizIdeational Metafunction QuizInterpersonal Metafunction QuizLexical Grammar QuizLexical Relations QuizLexical Resource Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books