1st Year Mathematics Chapter 9 Test9. Trigonometric Functions

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

1. If $f(x)$ is a periodic function and its period is $\pi$ , then $f(x)$ could be :
   1. $\sin 2x$
   2. $\tan 2x$
   3. $\cos 2x$
   4. All
2. If x, - x belongs to domain of $f(x)$ ,then function$f(x)$ is said to be an even function if :
   1. $f(-x)$=$f(x)$
   2. $f(-x)$=-$f(x)$
   3. $f(-x)$\neq$f(x)$
   4. $f(-x)$
3. The graph of which of the trigonometric function does not crosses the x - axis?
   1. ${\sin x}$
   2. ${\cos x}$
   3. ${tanx}$
   4. ${secx}$
4. Which of the two trigonometric functions have the domain $x = R - \left\{ (2n + 1) \frac{\pi}{2} \right\}, n \in \mathbb{Z} ?$
   1. $\sin\theta$ and $\cos\theta$
   2. $\tan\theta$ and $\sec\theta$
   3. $\cot\theta$ and $cosec\theta$
   4. $\tan\theta$ and $cosec\theta$
5. The range of the $-3\sin 3\theta$ , is :
   1. Set of real numbers
   2. [ -3, 3 ]
   3. [ 3, - 3 ]
   4. [ - 1 , 1 ]
6. From the graph of a trigonometric function , we can find its ___________.
   1. Domain
   2. Range
   3. Period
   4. All
7. The period of the trigonometric function $f(x) = \sin^2 x$ is :
   1. $\pi$
   2. $2\pi$
   3. $\frac{\pi}{2}$
   4. $\pi^2$
8. The range of the$2 \cos 3\theta$ is :
   1. Set of real numbers
   2. ( 2 , - 2 )
   3. ( - 3 , 3 )
   4. ( - 2 , 2 )
9. The maximum value of the trigonometric function The maximum value of the trigonometric function $y =6 + \frac{3}{5} \cos(2\theta - 1)$ is :
   1. $\frac{38}{5}$
   2. $\frac{32}{5}$
   3. $\frac{33}{5}$
   4. $\frac{38}{3}$
10. For a function $f(x)$, if we have $f(p + x) = f(x)$ where $x \in \text{domain } f(x)$, then $p > 0$ is called:
    1. Domain of $f(x)$
    2. Range of $f(x)$
    3. Period of $f(x)$
    4. Frequency of $f(x)$