This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 7 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the period of the function $y=2\sin\left(\frac{2}{3}x\right)-1$ A) $\frac{2}{3}$. B) 2. C) $\frac{2}{3}\pi$. D) $3\pi$. Show Answer Correct Answer: D) $3\pi$. 2. Find the phase shift. $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) Left $\frac{\pi}{2}$. B) Right $\frac{\pi}{2}$. C) Up 1. D) Down 1. Show Answer Correct Answer: B) Right $\frac{\pi}{2}$. 3. What is the definition for tangent (tan)? A) R/y. B) R/x. C) X/y. D) Y/x. Show Answer Correct Answer: D) Y/x. 4. $\tan\left(x\right)=$ A) $\frac{\sin x}{\cos x}$. B) $\frac{1}{\cos x}$. C) $\frac{\cos x}{\sin x}$. D) $x^2+y^2$. Show Answer Correct Answer: A) $\frac{\sin x}{\cos x}$. 5. It is given that cos $\alpha$ $\frac{3}{5}$ $\alpha$ $\left(\frac{\pi}{2}-\alpha\right)$ A) $\frac{4}{5}$. B) $-\frac{3}{5}$. C) $\frac{3}{5}$. D) $-\frac{4}{5}$. Show Answer Correct Answer: C) $\frac{3}{5}$. 6. $11\\frac{\pi}{6}$ A) 270$^\circ$. B) 300$^\circ$. C) 315$^\circ$. D) 330$^\circ$. Show Answer Correct Answer: D) 330$^\circ$. 7. Find the exact value. $\cos\left[\sin^{-1}\left(-\frac{3}{5}\right)\right]$ A) $-\frac{3}{5}$. B) $\frac{5}{4}$. C) $-\frac{4}{5}$. D) $\frac{4}{5}$. Show Answer Correct Answer: D) $\frac{4}{5}$. 8. What is the period of the graph of $f\left(x\right)=\tan\left(\theta+\frac{2\pi}{3}\right)+2$ A) $2\pi$. B) $2$. C) $\pi$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: C) $\pi$. 9. Sin(-x) = A) Sin-x. B) Cos x. C) -sin x. D) Cos-x. Show Answer Correct Answer: C) -sin x. 10. Find the value of cos x if tan x = 15/8. A) 8/17. B) 8/15. C) 17/8. D) 15/17. Show Answer Correct Answer: A) 8/17. 11. Evaluate:$\sin\\frac{7\pi}{6}$ A) $-\frac{1}{2}$. B) $-\frac{1}{\sqrt{2}}$. C) $\frac{2}{\sqrt{3}}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: A) $-\frac{1}{2}$. 12. What quadrant are sin and csc positive? A) I. B) I and II. C) I and III. D) I and IV. Show Answer Correct Answer: B) I and II. 13. What is the cosine of $\pi$ A) 0. B) 1. C) -1. D) $\frac{1}{2}$. Show Answer Correct Answer: C) -1. 14. The ..... represents the distance above or below the midline of a sine or cosine graph; we always take the absolute value of this height. A) Period. B) Frequency. C) Extreme Values. D) Amplitude. Show Answer Correct Answer: D) Amplitude. 15. What is the reference angle for 150 degrees? A) 150. B) 30. C) 60. D) 180. Show Answer Correct Answer: B) 30. 16. Convierta 237$^\circ$ a radianes A) $\frac{79}{60}\pi\\rad$. B) $\frac{79}{30}\pi\\rad$. C) $\frac{62}{60}\pi\\rad$. D) $\frac{5}{12}\pi\\rad$. Show Answer Correct Answer: A) $\frac{79}{60}\pi\\rad$. 17. From your knowledge of the unit circle or the graphs y=sinx and y=cosx write down the value of sin0$^\circ$. A) 1. B) 0. C) 1/2. D) -1. Show Answer Correct Answer: B) 0. 18. What is the formula for cos(A + B)? A) Cos A + cos B. B) Cos A + sin B. C) 2 cos A cos B. D) Cos A cos B-sin A sin B. Show Answer Correct Answer: D) Cos A cos B-sin A sin B. 19. Find the value of sin $\\frac{31\pi}{3}$ A) 0.5. B) $\frac{\sqrt{3}}{2}$. C) $\frac{1}{\sqrt{2}}$. D) None. Show Answer Correct Answer: B) $\frac{\sqrt{3}}{2}$. 20. What is a possible x value of y = cot(x) when y = 0? A) -$\frac{\pi}{2}$. B) 0. C) $\pi$. D) $\frac{\pi}{4}$. Show Answer Correct Answer: A) -$\frac{\pi}{2}$. 21. Point P(7, -24) is a point on the terminal side of angle $\theta$ $\theta$ A) $-\frac{24}{25}$. B) $\frac{7}{25}$. C) $-\frac{24}{7}$. D) $\frac{24}{25}$. Show Answer Correct Answer: A) $-\frac{24}{25}$. 22. Trigonometry is about the ratio of the ..... A) Angles. B) Sides. C) Triangles. D) Right angled triangles. Show Answer Correct Answer: B) Sides. 23. Classify a triangle with side lengths 12, 14, and 20. A) Acute. B) Obtuse. C) Right. D) Isosceles. Show Answer Correct Answer: B) Obtuse. 24. What is the period of y = 3sin(x/4-30) + 2in degrees? A) 180. B) 360. C) 720. D) 1440. Show Answer Correct Answer: D) 1440. 25. The derivative, $f'\left(x\right)$ $f\left(x\right)=2\tan\left(4x\right)$ A) $2\\sec^2x$. B) $2\\sec^2\left(4x\right)$. C) $4\\sec^2\left(4x\right)$. D) $8\\sec^2\left(4x\right)$. Show Answer Correct Answer: D) $8\\sec^2\left(4x\right)$. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 3 Trigonometric Functions Quiz 1Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 2Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 3Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 4Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 5Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 6Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 8Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books