This quiz works best with JavaScript enabled. Home > Class 12 > Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 12 (15 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What happens to the domain and range when finding the inverse of a function? A) The domain becomes the range. B) They remain unchanged. C) The range becomes the domain. D) Both domain and range become infinite. Show Answer Correct Answer: C) The range becomes the domain. 2. The integration of f(x)= tan(x) dx is: A) -ln Icos(x)I + C. B) Ln Isin(x)I +C. C) Sec$^{2}$ (x) + C. D) -ln Isin(x)I +C. Show Answer Correct Answer: A) -ln Icos(x)I + C. 3. The derivative of arccos(4x) is A) $\frac{1}{\sqrt{1-16x^2}}$. B) $\frac{1}{\sqrt{1-4x^2}}$. C) $\frac{-4}{\sqrt{1-16x^2}}$. D) $\frac{-1}{\sqrt{1-16x^2}}$. Show Answer Correct Answer: C) $\frac{-4}{\sqrt{1-16x^2}}$. 4. Refer to the graph labeled 'y = tan x'. Which trigonometric function does this graph represent? A) Tangent. B) Cotangent. C) Sine. D) Cosine. Show Answer Correct Answer: A) Tangent. 5. Arcsin(0) A) 0. B) 1. C) 1/2. D) 3/2. Show Answer Correct Answer: A) 0. 6. Refer to the figure shown (right triangle ABC). cot A = ..... A) Adjacent side / opposite side. B) Opposite side / adjacent side. C) Hypotenuse / opposite side. D) Opposite side / hypotenuse. Show Answer Correct Answer: A) Adjacent side / opposite side. 7. The graph of the inverse sine function can be obtained by: A) Reflecting the graph of sine across the x-axis. B) Interchanging the x and y axes. C) Rotating the graph of sine. D) Reflecting the graph of sine across the y-axis. Show Answer Correct Answer: B) Interchanging the x and y axes. 8. Given the function $y = \tan^{-1}u$ A) $d/dx (tan^{-1}u) = du/dx / (1 + u^2)$. B) $d/dx (tan^{-1}u) = du/dx / (1-u^2)$. C) $d/dx (tan^{-1}u) = du/dx * (1 + u^2)$. D) $d/dx (tan^{-1}u) = du/dx / (1 + 2u)$. Show Answer Correct Answer: A) $d/dx (tan^{-1}u) = du/dx / (1 + u^2)$. 9. Fill in the blank:The final simplified derivative for cot(u) is dy/dx = ..... A) -$-csc^2(u) du/dx$. B) $csc^2(u) du/dx$. C) $sec^2(u) du/dx$. D) -$sec^2(u) du/dx$. Show Answer Correct Answer: A) -$-csc^2(u) du/dx$. 10. The integral $\int_{ }^{ }\frac{4x-5}{\sqrt{4x-x^2}}dx$ A) $-\sqrt{4x-x^2}+3\arcsin\frac{\left(x-2\right)}{2}+c$. B) $-\sqrt{4x-x^2}+\frac{3}{2}\arcsin\frac{\left(x-2\right)}{2}+c$. C) $-2\sqrt{4x-x^2}+3\arcsin\frac{\left(x-2\right)}{2}+c$. D) $-4\sqrt{4x-x^2}+3\arcsin\frac{\left(x-2\right)}{2}+c$. Show Answer Correct Answer: D) $-4\sqrt{4x-x^2}+3\arcsin\frac{\left(x-2\right)}{2}+c$. 11. $\int\\frac{dx}{9+x^2}$ A) $-\frac{1}{3}\arctan\\frac{x}{3}+C$. B) $\frac{1}{3}\arctan\\frac{x}{3}+C$. C) $3\arctan\\frac{x}{3}+C$. D) $-3\arctan\\frac{x}{3}+C$. Show Answer Correct Answer: B) $\frac{1}{3}\arctan\\frac{x}{3}+C$. 12. Refer to the graph labeled 'y = cos x'. Which trigonometric function does this graph represent? A) Sine. B) Cosine. C) Secant. D) Cosecant. Show Answer Correct Answer: B) Cosine. 13. Determine d/dx (arccot u) with u = u(x). A) $\frac{-u'}{\sqrt{1-u^2}}$. B) $\frac{1}{1 + u^2}$. C) $\frac{-u'}{(1+u^2)}$. D) $\frac{1}{\sqrt{1-u^2}}$. Show Answer Correct Answer: C) $\frac{-u'}{(1+u^2)}$. 14. Cos 87 A) .05. B) .569. C) .0523. D) .5700. Show Answer Correct Answer: C) .0523. 15. Evaluate. $\tan^{-1}\left(\sin\left(\frac{3\pi}{2}\right)\right)$ A) $\frac{\pi}{2}$. B) $-\frac{\pi}{2}$. C) $-\frac{\pi}{4}$. D) $\frac{\pi}{4}$. E) UNDEFINED. Show Answer Correct Answer: C) $-\frac{\pi}{4}$. ← PreviousRelated QuizzesClass 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 1Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 2Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 3Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 4Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 5Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 6Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 7Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 8Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 9Class 12 Mathematics Chapter 2 Inverse Trigonometric Functions Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books