Graphing trigonometric functions Quiz 1

Question 1

The function for the following curve is  $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/5c906385-0f1c-42e1-aac3-8832d3bd9c767165543425406393364.png"/>

Accepted Answer

$$	ext{sin}\left( x-\dfrac{\pi }{4} ight)+1$$

Answer

$$	ext{sin}\left( x-\dfrac{\pi }{4} ight)+2$$

Answer

$$	ext{2sin}\left( x-\dfrac{\pi }{4} ight)+1$$

Answer

$$\cos \left( x-\dfrac{\pi }{4} \right)+1$$

Question 2

The time period for the following curve is $$ \ $$ <img  src="https://cmds-vedantu.s3.ap-southeast-1.amazonaws.com/prod/question-sets/e58301f7-8f5a-41ca-beba-a93f5ab8a31a1085110898940968608.png"/>

Accepted Answer

$$\pi $$

Answer

$$\dfrac{\pi }{4}$$

Answer

$$\dfrac{\pi }{2}$$

Answer

$$2\pi $$

Question 3

Find the number of solutions of the equation $$\cos \left( 2x \right)=\cos \left( 3x \right)$$ in the interval $$\left[ 0,\pi  \right]$$

Accepted Answer

$$3$$

Answer

$$1$$

Answer

$$5$$

Answer

$$4$$

Question 4

Range of the function $$f\left( x ight)=\cos \left\{ x	ext{ } ight\}$$  is, where $$\left\{ 	ext{ }.	ext{ } ight\}$$ represents fractional part function.

Accepted Answer

$$\left[ 1,\cos 1 \right)$$

Answer

$$\left[ 0,1 \right)$$

Answer

$$\left[ 0,1 \right]$$

Answer

$$\left[ 1,\cos 1 \right]$$

Question 5

Number of points of discontinuity $$f\left( x ight)=\cos \left\{ x	ext{ } ight\}$$ has in the interval $$\left( -1,2 ight]$$.

Accepted Answer

$$3$$

Answer

$$4$$

Answer

$$4$$

Answer

$$2$$