This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the definition for cosine (cos)? A) Y/r. B) X/r. C) Y/x. D) X/y. Show Answer Correct Answer: B) X/r. 2. Which of the parameters represents the horizontal translation of $y=a\cos\left(bx-c\right)+d$ A) A. B) B. C) D. D) D. E) None of the above. Show Answer Correct Answer: E) None of the above. 3. Given $f\left(x\right)=\tan^3\left(4x^2\right)$ $f'\left(x\right)$ A) $3\tan^2\left(4x^2\right)\sec^2\left(4x^2\right)$. B) $12\tan^2\left(4x^2\right)\sec^2\left(4x^2\right)$. C) $24\tan^2\left(4x^2\right)\sec^2\left(4x^2\right)$. D) $24x\tan^2\left(4x^2\right)\sec^2\left(4x^2\right)$. Show Answer Correct Answer: D) $24x\tan^2\left(4x^2\right)\sec^2\left(4x^2\right)$. 4. If the area of a triangle is 35 sq units with vertices (2, -6), (5, 4) and (k, 4). Then k is A) 12. B) -2. C) -12, -2. D) 12, -2. Show Answer Correct Answer: D) 12, -2. 5. What is the result of sin(C + D)? A) 2 sin C sin D. B) Sin C + sin D. C) 2 sin(C + D). D) Sin C cos D+cosC sinD. Show Answer Correct Answer: D) Sin C cos D+cosC sinD. 6. Given $\sin(\theta) = \frac{3}{5}$ $\cos(\theta)$ A) $\frac{4}{5}$. B) $\frac{3}{4}$. C) $\frac{5}{3}$. D) $\frac{4}{3}$. Show Answer Correct Answer: A) $\frac{4}{5}$. 7. Convert the angle $\theta=\frac{17\pi}{18}radians$ $\theta=$ A) $170$. B) 170 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $170$. 8. A matrix A is both symmetric and skew symmetric if A is A) Null matrix. B) Unit matrix. C) Row matrix. D) None of these. Show Answer Correct Answer: A) Null matrix. 9. $\tan^{-1}\left(\tan\\frac{9\pi}{8}\right)=$ A) $\frac{9\pi}{8}$. B) $-\frac{\pi}{8}$. C) $\frac{\pi}{8}$. D) $-\frac{9\pi}{8}$. Show Answer Correct Answer: C) $\frac{\pi}{8}$. 10. $\sin^{-1}\left(-\frac{1}{2}\right)$ A) $\frac{\pi}{6}$. B) $-\frac{\pi}{6}$. C) $\frac{7\pi}{6}$. D) $\frac{11\pi}{6}$. Show Answer Correct Answer: B) $-\frac{\pi}{6}$. 11. Which trigonometric function is defined as opp/adj in a right triangle? A) Cotangent. B) Tangent. C) Cosine. D) Sine. Show Answer Correct Answer: B) Tangent. 12. Evaluate:$\sin\left(-\frac{13\pi}{6}\right)$ A) $-\frac{1}{2}$. B) $-\frac{\sqrt[]{3}}{2}$. C) $\frac{\sqrt[]{3}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: A) $-\frac{1}{2}$. 13. (3, -3) is a point on the terminal side of an angle. Find the exact value of $\sin\theta$ A) $-\frac{\sqrt{2}}{2}$. B) $\frac{\sqrt{2}}{2}$. C) -1. D) $-\sqrt{2}$. Show Answer Correct Answer: A) $-\frac{\sqrt{2}}{2}$. 14. $\frac{\text{d}}{\text{d}y}\left(3\tan^4x\right)$ A) $12\tan^3x\sec^2x$. B) $12\tan^3x\sec x$. C) $12\sec^3x$. D) $12\sec^6x$. E) $12\sec^2x$. Show Answer Correct Answer: A) $12\tan^3x\sec^2x$. 15. What is the phase shift of $y=\cos\left(x-\frac{3\pi}{2}\right)$ A) Right $\frac{3\pi}{2}$. B) Left $\frac{3\pi}{2}$. C) Up $\frac{3\pi}{2}$. D) Down $\frac{3\pi}{2}$. Show Answer Correct Answer: A) Right $\frac{3\pi}{2}$. 16. Classify a triangle with side lengths 20, 25, and 15. A) Acute. B) Right. C) Obtuse. D) Equilateral. Show Answer Correct Answer: B) Right. 17. Find the phase shift. $y=\cos\left(x-\frac{\pi}{2}\right)$ A) $right\\frac{\pi}{2}$. B) $left\\frac{\pi}{2}$. C) $up\\frac{\pi}{2}$. D) $down\\frac{\pi}{2}$. Show Answer Correct Answer: A) $right\\frac{\pi}{2}$. 18. The value of sin (2 tan$^{-1}$ (.75)) is equal to A) .75. B) 1.5. C) .96. D) Sin 1.5. Show Answer Correct Answer: C) .96. 19. Find the period $f\left(x\right)=\cos\\frac{1}{2}\left(x-\frac{\pi}{2}\right)-1$ A) $\frac{1}{2}$. B) 1. C) -1. D) 4 $\pi$. Show Answer Correct Answer: D) 4 $\pi$. 20. Cos C + cos D = A) 2 sin( x+y /2) cos ( x-y/2). B) 2 cos ( x+y /2) cos ( x-y/2). C) 2 sin ( x+y /2) sin( x-y/2). D) -2 cos ( x+y /2) cos ( x-y/2). Show Answer Correct Answer: B) 2 cos ( x+y /2) cos ( x-y/2). 21. What is the period of $y=a\sin\left(b\theta+c\right)+d$ A) $\frac{\pi}{b}$. B) $\frac{2\pi}{b}$. C) $\frac{\pi}{\left|b\right|}$. D) $\frac{2\pi}{\left|b\right|}$. Show Answer Correct Answer: D) $\frac{2\pi}{\left|b\right|}$. 22. Find arcsin $\frac{1}{2}$ A) 90$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. E) 0$^\circ$. Show Answer Correct Answer: B) 30$^\circ$. 23. Point Q(-5, -12) is a point on the terminal side of angle $\theta$ $\theta$ A) $\frac{5}{13}$. B) $-\frac{12}{13}$. C) $-\frac{5}{13}$. D) $-\frac{13}{5}$. Show Answer Correct Answer: C) $-\frac{5}{13}$. 24. $\cot[\tan^{-1}(b)+\cot^{-1}(b)]$ A) 0. B) 1. C) 2. D) -2. Show Answer Correct Answer: A) 0. 25. What is the range of the function $y=-7\cos(3x+\frac{2\pi}{3})-2$ A) $\left(-\infty, -9\right]\cup\left[5, \infty\right)$. B) $\left(-\infty, \infty\right)$. C) $\left[-7, 7\right]$. D) $\left[-9, 5\right]$. Show Answer Correct Answer: D) $\left[-9, 5\right]$. ← 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 7Class 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