Class 11 Mathematics Chapter 3 Trigonometric Functions Quiz 27 (25 MCQs)

Quiz Instructions

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1. Sinx is an ..... function
2. Which trigonometric function is defined as hyp/adj in a right triangle?
3. A right triangle is formed by
4. What is the definition of sine in a right triangle?
5. Let f(x) = 3 tan(4t)-5. What is the vertical shift of f(x)?
6. What is the amplitude in the following sinusoidal function? $h(x)=-3\sin(2x-\pi)+2$
7. Give the y-intercept of sine.
8. Which of the following statements are false?I. sin 15$^{0}$ = sin 75$^{0}$II. tan 20$^{0}$ = cot 70$^{0}$ III. cos 10$^{0}$ = sin 80$^{0}$
9. Evaluate:$\cos\left(\sin^{-1}\left(\frac{-\sqrt{3}}{2}\right)\right)$
10. WHICH OF THE FOLLOWING IS NOT A MNEMONICS OF THE SIX TRIGONOMETRIC FUNCTION?
11. Consider a Ferris wheel, moving in constant motion. At its lowest height of 2 metre above the ground, it loads passengers. It carries passengers to a height of at most 14 metres. How high is the hub of Ferris wheel off the ground (hint:the axis of the curve)?
12. A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled $x$ $\qquad\tau(x)=\frac{2}{1000}\sin\left(\frac{2\pi(x+0.2)}{4}\right)$ $y=$
13. $\left(3A\right)\\lim_{x\rightarrow0}\\frac{4x}{\tan5x}$
14. Find the value of $\sin^{-1}\left(\cos\pi\right)$
15. What is the ratio of the hypotenuse to the side adjacent to a given angle in a righttriangle?
16. Evaluate:$\cos\\frac{3\pi}{4}$
17. The ..... measure how many periods occur in 1 unit.
18. A pythagorean triple is a set of 3 integers that satisfy a$^{2}$ + b$^{2}$ = c$^{2}$. The primary set of pythagorean triples is 3, 4, 5. Determine if the following set of numbers are Pythagorean Triples.15, 20, 25
19. Find the csc $\left(0\pi\right)$
20. What is the cosine of $\frac{\pi}{3}$
21. Find arccos $\frac{\sqrt[]{3}}{2}$
22. The curve of which following function is an increasing curve
23. What is the derivative of-cos(x)?
24. Which is equivalent to $\cos45\cos30-\sin45\sin30$
25. Where does the graph of y=sin(x) begin its first cycle?