This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 30 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 30 (15 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the global maximum value of the function $y=-3\cos\left(2x-\frac{\pi}{3}\right)+4$ A) $3$. B) $-3$. C) $1$. D) $7$. Show Answer Correct Answer: D) $7$. 2. $\lim_{x\rightarrow0}\\frac{\sin\\frac{1}{3}x}{x}$ A) -3. B) $-\frac{1}{3}$. C) $0$. D) $\frac{1}{3}$. E) 3. Show Answer Correct Answer: D) $\frac{1}{3}$. 3. What is the phase shift of the graph of $f\left(x\right)=\tan\left(\theta+\frac{2\pi}{3}\right)+2$ A) 2 up. B) 2 down. C) 2pi/3 left. D) 2pi/3 right. Show Answer Correct Answer: C) 2pi/3 left. 4. If I wanted to find the sine of an angle, what side lengths would I need to know? A) Base, hypotenuse. B) Hypotenuse, adjacent. C) Opposite, hypotenuse. D) Adjacent, opposite. Show Answer Correct Answer: C) Opposite, hypotenuse. 5. Find the exact value of $\sec^{-1}\left(-2\right)$ A) $\frac{2\pi}{3}$. B) $-\frac{\pi}{3}$. C) $\frac{4\pi}{3}$. D) $-\frac{2\pi}{3}$. Show Answer Correct Answer: A) $\frac{2\pi}{3}$. 6. $\cos\left(\frac{\pi}{6}\right)$ A) $\frac{\sqrt[]{2}}{2}$. B) $\frac{1}{2}$. C) $\frac{\sqrt[]{3}}{2}$. D) 0. E) 1. Show Answer Correct Answer: C) $\frac{\sqrt[]{3}}{2}$. 7. $\frac{\text{d}}{\text{d}y}\left(\sin x\right)$ A) $\cos x$. B) $-\cos x$. C) $\sin^{-1}x$. D) $\frac{1}{\sin x}$. E) $\sin x\cos x$. Show Answer Correct Answer: A) $\cos x$. 8. Which trigonometric function is defined as hyp/opp in a right triangle? A) Secant. B) Tangent. C) Cosecant. D) Cotangent. Show Answer Correct Answer: C) Cosecant. 9. How many "key points" should be included in every cycle/period of a trig graph? A) As many as I want. B) It depends on the graph. C) 4. D) 5. Show Answer Correct Answer: D) 5. 10. How many degrees are there in half a circle? A) 360$^{o}$. B) 2pi. C) 180$^{o}$. D) Pi. Show Answer Correct Answer: C) 180$^{o}$. 11. Find the exact value of $\tan\frac{5\pi}{3}$ A) $\sqrt{3}$. B) 1. C) $-\sqrt{3}$. D) $-\sqrt{2}$. Show Answer Correct Answer: C) $-\sqrt{3}$. 12. The derivative of $x\cos2x$ A) $2x\sin2x+\cos2x$. B) $-2x\sin2x+\cos2x$. C) $\cos2x+4\sin2x$. D) $2x\cos2x$. Show Answer Correct Answer: B) $-2x\sin2x+\cos2x$. 13. The x-coordinate of the point at $\theta=\frac{5\pi}{4}$ A) $-\frac{\sqrt[]{2}}{2}$. B) $\frac{\sqrt[]{2}}{2}$. C) $-\frac{1}{2}$. D) $-\frac{\sqrt[]{3}}{2}$. Show Answer Correct Answer: A) $-\frac{\sqrt[]{2}}{2}$. 14. What is the value of $\cos\left(\frac{\pi}{6}\right)$ A) $2$. B) $0$. C) $\frac{\sqrt{3}}{2}$. D) $-\frac{\sqrt{3}}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt{3}}{2}$. 15. What is the value of the trigonometric function $\sin\\frac{\pi}{3}$ A) $-2$. B) $\sqrt[]{3}$. C) $\frac{\sqrt[]{3}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt[]{3}}{2}$. ← PreviousRelated 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