This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 3 Trigonometric Functions – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the value of $\csc\left(\frac{10\pi}{3}\right)$ A) $-\frac{\sqrt[]{3}}{2}$. B) $-\frac{\sqrt[]{2}}{2}$. C) $-\frac{2\sqrt[]{3}}{3}$. D) $\frac{3\sqrt[]{2}}{2}$. Show Answer Correct Answer: C) $-\frac{2\sqrt[]{3}}{3}$. 2. What is the formula for the period of tangent and cotangent? A) $T=\frac{\pi}{4}$. B) $T=\frac{\pi}{\left|b\right|}$. C) $T=\frac{2\pi}{\left|b\right|}$. D) $T=\frac{2\pi}{4}$. Show Answer Correct Answer: B) $T=\frac{\pi}{\left|b\right|}$. 3. Given the point (-4, -3) on the terminal side of the angle $\theta.$ $\theta?$ A) 3/5. B) -5/4. C) -3/5. D) -4/5. Show Answer Correct Answer: C) -3/5. 4. $\cos^{-1}\left(-1\right)=?$ A) 0. B) $\pi$. C) $\frac{\pi}{2}$. D) $\frac{3\pi}{2}$. Show Answer Correct Answer: B) $\pi$. 5. $\min\left(3+4\sin x\right)=?$ A) 7. B) 1. C) -1. D) 0. Show Answer Correct Answer: C) -1. 6. WHICH OF THE FOLLOWING SHAPES FOCUSES MORE IN STUDYING TRIGONOMETRY? A) ACUTE TRIANGLE. B) SCALENE TRIANGLE. C) RIGHT TRIANGLE. D) OBTUSE TRIANGLE. Show Answer Correct Answer: C) RIGHT TRIANGLE. 7. How do we find the period of the sinusoidal function below?f(x) = asin(kx)+d A) $P=k$. B) $P=\frac{2k}{\pi}$. C) $P=\frac{2\pi}{k}$. D) $P=\frac{d}{2}$. Show Answer Correct Answer: C) $P=\frac{2\pi}{k}$. 8. Evaluate:$\cos^{-1}\left(\cos\left(\frac{4\pi}{3}\right)\right)$ A) $\frac{-1}{2}$. B) $\frac{\pi}{4}$. C) $\frac{\pi}{3}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: D) $\frac{2\pi}{3}$. 9. The tangent ratio is found by dividing A) Oppposite by adjacent. B) Adjacent by opposite. C) Opposite by hypotenuse. D) Adjacent by hypotenuse. Show Answer Correct Answer: A) Oppposite by adjacent. 10. Which pair of values are equal? A) $\tan\left(\frac{\pi}{4}\right), \\tan\left(-\frac{\pi}{4}\right)$. B) $\tan\left(\frac{\pi}{4}\right), \-\tan\left(\frac{\pi}{4}\right)$. C) $\tan\left(\frac{\pi}{4}\right), \-\tan\left(-\frac{\pi}{4}\right)$. D) $\tan\left(-2\pi\right)$. Show Answer Correct Answer: C) $\tan\left(\frac{\pi}{4}\right), \-\tan\left(-\frac{\pi}{4}\right)$. 11. What is the period of $y=2\sec\left(\frac{1}{2}x\right)-1$ A) $2\pi$. B) $\pi$. C) $4\pi$. D) $3\pi$. Show Answer Correct Answer: C) $4\pi$. 12. A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle? A) 7.78 inches. B) 8.21 inches. C) 157.5 inches. D) 7 inches. Show Answer Correct Answer: A) 7.78 inches. 13. $\frac{\text{d}}{\text{d}y}\left(\frac{x}{\cos x}\right)^2$ A) $\frac{2x\left(\cos x+x\sin x\right)}{\cos^3x}$. B) $\frac{2x\left(\cos x-x\sin x\right)}{\cos^3x}$. C) $\frac{2x\left(\cos^2x+x\sin x\right)}{\cos^4x}$. D) $\frac{2x\left(\cos^2x-x\sin x\right)}{\cos^4x}$. E) $-\frac{2x\left(\cos x+x\sin x\right)}{\cos^3x}$. Show Answer Correct Answer: A) $\frac{2x\left(\cos x+x\sin x\right)}{\cos^3x}$. 14. What are signs of sine and cosine functions in the 2. Quadrant? A) Sine is negativeCosine is positive. B) Sine is negative Cosine is negative. C) Sine is positive Cosine is positive. D) Sine is positive Cosine is negative. Show Answer Correct Answer: D) Sine is positive Cosine is negative. 15. The phase shift is the same as ..... ? A) Vertical stretch/compression. B) Horizontal translation. C) Vertical translation. D) Reflection. Show Answer Correct Answer: B) Horizontal translation. 16. Given that cos P= $-\frac{4}{5}$ $\frac{12}{13}$ A) $-\frac{56}{65}$. B) $\frac{56}{65}$. C) $\frac{16}{65}$. D) $-\frac{16}{65}$. Show Answer Correct Answer: D) $-\frac{16}{65}$. 17. What is the reciprocal of cosine? A) Secant. B) Cotangent. C) Cosecant. D) Tangent. Show Answer Correct Answer: A) Secant. 18. $f\left(x\right)=\cos4\left(x-\pi\right)-4$ A) 1. B) 4. C) $\pi$. D) -4. Show Answer Correct Answer: A) 1. 19. Find the exact value of $\sin^{-1}\left(-\frac{\sqrt{2}}{2}\right)$ A) $\frac{\pi}{6}$. B) $-\frac{\pi}{4}$. C) $\frac{\pi}{4}$. D) $\frac{\pi}{3}$. Show Answer Correct Answer: B) $-\frac{\pi}{4}$. 20. A sine function has a period of $4\pi$ A) $f\left(x\right)=5\sin\left(\frac{1}{2}x+3\right)+2$. B) $f\left(x\right)=5\sin\left(2x+3\right)+2$. C) $f\left(x\right)=2\sin\left(\frac{1}{4}x+1\right)+5$. D) $f\left(x\right)=4\pi\sin\left(2x+1\right)-7$. Show Answer Correct Answer: A) $f\left(x\right)=5\sin\left(\frac{1}{2}x+3\right)+2$. 21. What is csc(x) equivalent to? A) 1/sin(x). B) 1/tan(x). C) Sin(x). D) 1/cos(x). Show Answer Correct Answer: A) 1/sin(x). 22. What shift is happening in the function y=-6cos(x-1/2) A) Right 1/2. B) Down 1/2. C) Left 1/2. D) Up 1/2. Show Answer Correct Answer: A) Right 1/2. 23. Angles with the same initial and terminal sides are . A) Coterminal. B) Vertex. C) Radian. D) The same. Show Answer Correct Answer: A) Coterminal. 24. What is the value of the trigonometric function $\cos\\frac{\pi}{6}$ A) $\sqrt[]{3}$. B) $\frac{\sqrt[]{3}}{3}$. C) $\frac{\sqrt[]{3}}{2}$. D) $\frac{1}{2}$. Show Answer Correct Answer: C) $\frac{\sqrt[]{3}}{2}$. 25. What is the equation of the asymptote for the following equation? $y=\sec\left(\frac{1}{2}x\right)$ A) $x=\frac{\pi}{2}+n\pi$. B) $x=n\pi$. C) $x=\frac{\pi}{4}+\frac{n\pi}{2}$. D) $x=\pi+2n\pi$. E) $x=\frac{n\pi}{2}$. Show Answer Correct Answer: D) $x=\pi+2n\pi$. ← 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