This quiz works best with JavaScript enabled. Home > Grammar > Advanced > Reciprocal Trigonometric Functions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Reciprocal Trigonometric Functions Quiz 1 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the reference angle for-30$^\circ$? A) 150$^\circ$. B) 30$^\circ$. C) 80$^\circ$. D) 60$^\circ$. Show Answer Correct Answer: B) 30$^\circ$. 2. If $\tan \theta = 1$ $\cot \theta$ A) $0$. B) $1$. C) $-1$. D) Undefined. Show Answer Correct Answer: B) $1$. 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: B) -3/2. 4. Secant is the reciprocal of what function? A) Cosecant. B) Sine. C) Cosine. D) Tangent. Show Answer Correct Answer: C) Cosine. 5. Which of the following statements is true for all $\theta$ A) $\csc \theta = \frac{1}{\cos \theta}$. B) $\sec \theta = \frac{1}{\sin \theta}$. C) $\cot \theta = \frac{\cos \theta}{\sin \theta}$. D) $\sec \theta = \frac{1}{\tan \theta}$. Show Answer Correct Answer: C) $\cot \theta = \frac{\cos \theta}{\sin \theta}$. 6. What is the reciprocal of the sine function? A) Cosecant. B) Cosine. C) Secant. D) Cotangent. Show Answer Correct Answer: A) Cosecant. 7. What is the value of $\sec\left(\frac{\pi}{3}\right)$ A) $2$. B) $1$. C) $2$. D) $2$. Show Answer Correct Answer: A) $2$. 8. Given the Cosec x = 1, then the Sin x =? A) 1. B) -1. C) 0. D) Undefined. Show Answer Correct Answer: A) 1. 9. What is the reference angle for $\frac{4\pi}{3}$ A) $\frac{\pi}{3}$. B) $\frac{\pi}{6}$. C) $\frac{\pi}{4}$. D) $\frac{7\pi}{6}$. Show Answer Correct Answer: A) $\frac{\pi}{3}$. 10. What is the value of $\csc\left(\frac{\pi}{2}\right)$ A) $0$. B) $1$. C) $-1$. D) Undefined. Show Answer Correct Answer: B) $1$. 11. In which quadrant is-570$^\circ$ A) I. B) II. C) III. D) IV. Show Answer Correct Answer: B) II. 12. What is the value of $\csc\left(\frac{3\pi}{2}\right)$ A) $1$. B) $-1$. C) $0$. D) Undefined. Show Answer Correct Answer: B) $-1$. 13. Which of the following angles in radians makes $\cot \theta$ A) $0$. B) $\frac{\pi}{2}$. C) $\pi$. D) $\frac{3\pi}{2}$. Show Answer Correct Answer: A) $0$. 14. Find $\csc\left(\theta\right)$ $\cos\left(\theta\right)=\frac{4\sqrt{17}}{17}$ $\sin\left(\theta\right)<0$ A) $-\sqrt{17}$. B) $-4$. C) $\frac{1}{4}$. D) $\frac{\sqrt{17}}{17}$. Show Answer Correct Answer: A) $-\sqrt{17}$. 15. Cotangent is the reciprocal of what function? A) Cosecant. B) Sine. C) Cosine. 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) $-\frac{3}{4}$. B) $\frac{4}{5}$. C) $\frac{4}{3}$. D) $-\frac{5}{3}$. Show Answer Correct Answer: A) $-\frac{3}{4}$. 17. What is sin$^{-1}$(1/2)? A) 150. B) 120. C) 60. D) 30. Show Answer Correct Answer: D) 30. 18. Given the Csc(x) = 1, then the Sin(x) =? A) 1. B) -1. C) 0. D) Undefined. Show Answer Correct Answer: A) 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) $\sin \theta$. B) $\cos \theta$. C) $\cot \theta$. D) $\sec \theta$. Show Answer Correct Answer: C) $\cot \theta$. 22. If $\sin \theta = \frac{\sqrt{3}}{2}$ $0 < \theta < \pi$ $\csc \theta$ A) $\frac{2\sqrt{3}}{3}$. B) $\frac{\sqrt{3}}{2}$. C) $2$. D) $\sqrt{3}$. Show Answer Correct Answer: A) $\frac{2\sqrt{3}}{3}$. 23. Find a coterminal angle to-27$^\circ$. A) -387$^\circ$. B) 27$^\circ$. C) 323$^\circ$. D) -393$^\circ$. Show Answer Correct Answer: A) -387$^\circ$. 24. What is the value of $\sec(\pi)$ A) $1$. B) $0$. C) $-1$. D) Undefined. Show Answer Correct Answer: C) $-1$. 25. If $\theta = \frac{\pi}{4}$ $\cot \theta$ A) $1$. B) $0$. C) $-1$. D) $\sqrt{2}$. Show Answer Correct Answer: A) $1$. Next →Related QuizzesGrammar QuizzesReciprocal Trigonometric Functions Quiz 2Case Marking QuizCase System QuizFunctional Grammar QuizIdeational Metafunction QuizInterpersonal Metafunction QuizLexical Grammar QuizLexical Relations QuizLexical Resource QuizLexical Semantics QuizMaterial Processes QuizMental Processes QuizMorphology QuizNoun Phrase Structure QuizProbability Models QuizProcess Types QuizSemantic Fields QuizSystemic Functional Linguistics QuizTransitivity System QuizUnderstanding Connotations QuizVerbal Functions QuizVerbal Group Quiz 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books