This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 26 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 26 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Solve for sec x if tan x = 7/24 A) 24/7. B) 24/25. C) 7/25. D) 25/7. Show Answer Correct Answer: D) 25/7. 2. Find arctan $\frac{\sqrt[]{3}}{3}$ A) 0$^\circ$. B) 30$^\circ$. C) 60$^\circ$. D) 45$^\circ$. Show Answer Correct Answer: B) 30$^\circ$. 3. Select the MOST SIMPLIFIED answer for the problem:$\frac{\cot^2x}{1-\sin^2x}$ A) 1. B) $\frac{\cot^2x}{\cos^2x}$. C) $\frac{1}{\sin^2x}$. D) $\csc^2x$. Show Answer Correct Answer: D) $\csc^2x$. 4. Find the derivative of $e^{x^2}$ A) $e^{x^2}$. B) 2x. C) $2e^{x^2}$. D) $2xe^{x^2}$. Show Answer Correct Answer: D) $2xe^{x^2}$. 5. Which of the following functions has the following properties?1) Amplitude = 32) Period = $\frac{\pi}{2}$ $\frac{\pi}{6}$ A) $3\sin\left(2x-\frac{\pi}{3}\right)+9$. B) $-3\sin\left(4x-\frac{\pi}{6}\right)-9$. C) $f\left(x\right)=3\sin\left(4x-\frac{2\pi}{3}\right)-9$. D) $-3\sin\left(4x+\frac{\pi}{6}\right)-9$. Show Answer Correct Answer: C) $f\left(x\right)=3\sin\left(4x-\frac{2\pi}{3}\right)-9$. 6. Which of these is not the same? A) Sin$^{-1}$ (0). B) Cos$^{-1}$ (1). C) Tan$^{-1}$(1). D) Sec$^{-1}$(1). Show Answer Correct Answer: C) Tan$^{-1}$(1). 7. For this question, you are allowed to use a scratch paper.Solve the equation:$4\tan^{-1}\left(x\right)=-\pi$ A) $\sqrt{3}$. B) $\frac{\sqrt{3}}{3}$. C) $1$. D) $-1$. Show Answer Correct Answer: D) $-1$. 8. $\max\left(2-5\sin x\right)=?$ A) 7. B) -3. C) 3. D) Undefined. Show Answer Correct Answer: A) 7. 9. Which function has absolute values that are always greater than or equal to one? A) Sine. B) Tangent. C) Cosine. D) Secant. Show Answer Correct Answer: D) Secant. 10. Find the exact value of the expression:$\frac{4}{3}\left[\sin255+\sin15\right]$ A) $\frac{-2\sqrt{3}}{2}$. B) $\frac{2}{3}$. C) $\frac{2\sqrt{2}}{3}$. D) $-\frac{2\sqrt{2}}{3}$. Show Answer Correct Answer: D) $-\frac{2\sqrt{2}}{3}$. 11. What happens on Autumn Equinox? A) The number of darkness hours is greater than daylight. B) The number of hours of darkness is equal to daylight hours. C) The number of daylight hours is greater than darkness hours. D) None of the above. Show Answer Correct Answer: B) The number of hours of darkness is equal to daylight hours. 12. $\frac{\text{d}}{\text{d}y}\left(\sqrt{3\sin x+4\cos x}\right)$ A) $\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. B) $\frac{3\cos x+4\sin x}{2\sqrt{3\sin x+4\cos x}}$. C) $\frac{3}{2}\left(3\cos x-4\sin x\right)\sqrt{\left(3\sin x+4\cos x\right)^3}$. D) $\frac{3}{2}\left(3\cos x+4\sin x\right)\sqrt{\left(3\sin x+4\cos x\right)^3}$. E) $-\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. Show Answer Correct Answer: A) $\frac{3\cos x-4\sin x}{2\sqrt{3\sin x+4\cos x}}$. 13. 6) (secx-1)(secx+1) A) Tan$^{2}$x. B) Sinx. C) Co$^{}$t$^{2}$x. D) Cosx. Show Answer Correct Answer: A) Tan$^{2}$x. 14. What quadrant are cos and sec positive? A) I. B) I and II. C) I and III. D) I and IV. Show Answer Correct Answer: D) I and IV. 15. Which statement is NOT CORRECT about tangent? A) Opposite side over hypotenuse. B) Opposite side over adjacent side. C) Tangent is the reciprocal of cotangent. D) All of the above. Show Answer Correct Answer: A) Opposite side over hypotenuse. 16. Which describes the midline of the function? $y=-3\sin\left(2(x-\frac{\pi}{2})\right)+7$ A) X = 7. B) Y = 7. C) X = 1. D) Y = 4. Show Answer Correct Answer: B) Y = 7. 17. $\omega\left(\frac{5\pi}{4}\right)$ A) $\left(-\frac{\sqrt[]{2}}{2}, \\frac{\sqrt[]{2}}{2}\right)$. B) $\left(\frac{\sqrt[]{2}}{2}, \\frac{\sqrt[]{2}}{2}\right)$. C) $\left(-\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. D) $\left(\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. Show Answer Correct Answer: C) $\left(-\frac{\sqrt[]{2}}{2}, -\frac{\sqrt[]{2}}{2}\right)$. 18. $\frac{\text{d}}{\text{d}y}\left(12\tan x\cos\left(2x\right)\right)$ A) $12\left(\cos\left(2x\right)\sec^2x-2\tan x\sin\left(2x\right)\right)$. B) $12\left(\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. C) $-12\left(\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. D) $12\left(-\cos\left(2x\right)\sec^2x+2\tan x\sin\left(2x\right)\right)$. E) $12\left(\cos\left(2x\right)\sec x-2\tan x\sin\left(2x\right)\right)$. Show Answer Correct Answer: A) $12\left(\cos\left(2x\right)\sec^2x-2\tan x\sin\left(2x\right)\right)$. 19. What is the sum of angles formula for $\sin(a + b)$ A) $\sin(a + b) = \sin(a)\cos(b) +\cos(a) \sin(b)$. B) $\sin(a + b) = \sin(a) \sin(b)-\cos(a)\cos(b)$. C) $\sin(a + b) = \sin(a)\cos(b)-\cos(a) \sin(b)$. D) $\sin(a + b) =\cos(a)\cos(b)-\sin(a) \sin(b)$. Show Answer Correct Answer: A) $\sin(a + b) = \sin(a)\cos(b) +\cos(a) \sin(b)$. 20. What is the definition for secant (sec)? A) R/y. B) R/x. C) Y/r. D) Y/x. Show Answer Correct Answer: B) R/x. 21. Quadrant 3 A) Cosine and secant are positive. B) Tangent and cotangent are positive. C) Sine and cosecant are positive. D) All are positive. Show Answer Correct Answer: B) Tangent and cotangent are positive. 22. What is the relationship between cosine of Theta, and sine of pi over 2 minus Theta?(pi over 2=90degrees, in other words the complement) A) None of the above. B) They are equal. C) They are opposites. D) They are reciprocals. Show Answer Correct Answer: B) They are equal. 23. $\tan^{-1}\tan\\frac{9\pi}{8}$ A) $\frac{9\pi}{8}$. B) $\frac{\pi}{8}$. C) $-\frac{\pi}{8}$. D) $\frac{7\pi}{8}$. Show Answer Correct Answer: B) $\frac{\pi}{8}$. 24. What are the signs of cos 91$^{0}$, tan 100$^{0 }$ and sin 150$^{0}$ respectively? A) +, +, -. B) +, -, +. C) -, +, -. D) -, -, +. E) -, -, -. Show Answer Correct Answer: D) -, -, +. 25. What is the corresponding reference angle for 249$^\circ$? A) 21$^\circ$. B) 69$^\circ$. C) 111$^\circ$. D) 159$^\circ$. Show Answer Correct Answer: B) 69$^\circ$. ← 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 7Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 8Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books