The number of points where the curve cos2x-4 intersects the x-axis in -0-2- is

First draw the graph of cos2x To draw the graph of cos2(x π8), shift the graph of cos 2 x horizontally to the right along the x axis by π8 units. nbsp; So ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Graph of Trigonometric Ratios

The number of...

Question

The number of points where the curve $cos (2 x - \frac{π}{4})$ intersects the $x$ -axis in $[0, 2 π]$ is

3

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

6

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $4$
First draw the graph of $cos 2 x$

To draw the graph of $cos 2 (x - \frac{π}{8})$ ,
shift the graph of $cos 2 x$ horizontally to the right along the $x$ -axis by $\frac{π}{8}$ units.

So, from the graph we observe that the curve $cos (2 x - \frac{π}{4})$ intersects the $x$ -axis at $4$ points in $[0, 2 π]$ .

Suggest Corrections

Similar questions

Q. The number of points where the curve

cos (2 x - \frac{π}{4})

intersects the

x

-axis in

[0, 2 π]

Q. The slope of tangent to the curve

y = (x - 1) e^{x}

at point, where curve intersects the

x -

axis, is

Q. Slope of the tangent to

y = (x + 2) (x + 3)

at point where curve intersects the

y -

axis is

Q. Draw the graph of the curve

y = 4 x - x^{2} - 3

and find the points where

y

intersects the X axis.

Q. The curve

C

has equation

y = cos h x - 3 sin h x

The

x -

co-ordinate of the point where the curve

C

intersects the

x -

axis is:

Join BYJU'S Learning Program

The number of points where the curve cos(2x−π4) intersects the x-axis in [0,2π] is

The correct option is B 4 First draw the graph of cos2x To draw the graph of cos2(x−π8), shift the graph of cos2x horizontally to the right along the x-axis by π8 units. So, from the graph we observe that the curve cos(2x−π4) intersects the x-axis at 4 points in [0,2π].

The number of points where the curve $cos (2 x - \frac{π}{4})$ intersects the $x$ -axis in $[0, 2 π]$ is