This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 9 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Evaluate:$\cos\\frac{7\pi}{4}$ A) $\frac{1}{2}$. B) $\frac{1}{\sqrt{2}}$. C) $\sqrt{2}$. D) $\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: B) $\frac{1}{\sqrt{2}}$. 2. Cosine is defined as A) Opposite/hypotenuse. B) Adjacent/hypotenuse. C) Opposite/adjacent. D) Hypotenuse/adjacent. Show Answer Correct Answer: B) Adjacent/hypotenuse. 3. Inverse of sine of x = sine inverse of x A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 4. What is the reference angle for 125 degrees? A) 235 degrees. B) 125 degrees. C) 75 degrees. D) 55 degrees. Show Answer Correct Answer: D) 55 degrees. 5. What is $\frac{11\pi}{6}$ A) 30. B) 330. C) 360. D) 300. Show Answer Correct Answer: B) 330. 6. In the functions f(x)=Asin(Bx + C) + D, |A| represents what? A) Phase shift. B) Vertical translation. C) Amplitude. D) Midline. Show Answer Correct Answer: C) Amplitude. 7. $\sin\left(\frac{\pi}{4}\right)$ A) $\frac{\sqrt[]{2}}{2}$. B) $\frac{1}{2}$. C) $\frac{\sqrt[]{3}}{2}$. D) 0. E) 1. Show Answer Correct Answer: A) $\frac{\sqrt[]{2}}{2}$. 8. What is the ratio of the hypotenuse to the opposite side with respect to thegiven angle? A) Cosecant. B) Cosine. C) Secant. D) Sine. Show Answer Correct Answer: A) Cosecant. 9. Find dy/dx for $y=e^{6x}$ A) $e^{6x}$. B) $6e^{6x}$. C) $e^{6x-1}$. D) $6xe^{6x-1}$. Show Answer Correct Answer: B) $6e^{6x}$. 10. Cot(sin$^{-1}$(1/2)) A) $\sqrt[]{3}$. B) $\frac{\sqrt[]{3}}{3}$. C) $-\\\sqrt[]{3}$. D) $\frac{-\\\sqrt[]{3}}{3}$. Show Answer Correct Answer: A) $\sqrt[]{3}$. 11. $\frac{d}{dx}\left(\tan x\right)=$ A) $\sec x\tan x$. B) $\sec^2x$. C) $-\csc x\cot x$. D) $-\csc^2x$. Show Answer Correct Answer: B) $\sec^2x$. 12. What is the period? $f(x)=\sin x+5$ A) $\frac{\pi}{5}$. B) $5\pi$. C) $\pi$. D) $2\pi$. Show Answer Correct Answer: D) $2\pi$. 13. The diagonal elements of a skew matrix are A) All zeroes. B) Are all equal to some constant k( not eqqual to 0). C) Can be any number. D) None of these. Show Answer Correct Answer: A) All zeroes. 14. What is the amplitude of the following function $y=2\csc\left(x-\pi\right)+3$ A) 2. B) 1. C) 3. D) -1. Show Answer Correct Answer: A) 2. 15. Find the derivative of f(x) =-3x$^{4}$cscx A) F'(x) = 12x$^{3}$cscxcotx. B) F'(x) =-3x$^{4}$cscxcotx. C) F'(x) =-12x$^{3}$cscx + 3x$^{4}$cotxcscx. D) F'(x) =-3xcosx. Show Answer Correct Answer: C) F'(x) =-12x$^{3}$cscx + 3x$^{4}$cotxcscx. 16. Cosine inverse function is ..... A) Odd. B) Even. C) None. D) None of the above. Show Answer Correct Answer: C) None. 17. Give the Ratio for TAN X A) Adj/Opp. B) Opp/Adj. C) Adj/Hyp. D) Opp/Hyp. Show Answer Correct Answer: B) Opp/Adj. 18. What is the coterminal angle for-300? A) 300. B) -60. C) -660. D) 60. Show Answer Correct Answer: D) 60. 19. What is the value of $\tan\left(0\right)$ A) $-\sqrt{3}$. B) $0$. C) $-1$. D) Undefined. Show Answer Correct Answer: B) $0$. 20. If cos $\alpha$ = sin $\beta$, what must be true about $\alpha$ and $\beta$? A) $\alpha$ and $\beta$ are complementary angles. B) $\alpha$ and $\beta$ are congruent angles. C) $\alpha$ and $\beta$ are right angles. D) $\alpha$ and $\beta$ are supplementary angles. Show Answer Correct Answer: A) $\alpha$ and $\beta$ are complementary angles. 21. What type of symmetry does an odd function have? A) Reflection. B) Rotation. C) All the above. D) None of the above. Show Answer Correct Answer: B) Rotation. 22. A special right angled triangle has sides 12cm and 13cm. What is the length of the 3rd side? A) 5cm. B) 11cm. C) 14cm. D) 15cm. Show Answer Correct Answer: A) 5cm. 23. $\frac{d}{dx}\left(x-3\sin x\right)=$ A) $1-3\cos x$. B) $1+3\cos x$. C) $1-3\sin x$. D) $1+3\sin x$. Show Answer Correct Answer: A) $1-3\cos x$. 24. Tangent function amplitude is ..... A) 1. B) -1. C) Not defined. D) None of the above. Show Answer Correct Answer: C) Not defined. 25. What is the period in the function-3 sin (2(x-40$^\circ$)) + 7? A) 720$^\circ$. B) 360$^\circ$. C) 180$^\circ$. D) 120$^\circ$. Show Answer Correct Answer: C) 180$^\circ$. ← 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 10Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books