Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

The minimum and maximum values of $sin to the power of 4 x plus cos to the power of 4 space x$ are

$\frac{1}{2}, \frac{3}{2}$
$\frac{1}{2}, 1$
$1, \frac{3}{2}$
1,2

hint Hint:

In this question, we have to find the maximum and minimum value of the given equation. For that first we will simplify the trigonometric function, later assuming the possible range of the trigonometric function obtained we can find the maximum and minimum value.

The correct answer is: $1 half comma space 1$

$space space space space space sin to the power of 4 x plus cos to the power of 4 space x equals open parentheses sin squared x close parentheses squared plus open parentheses cos squared x close parentheses squared equals open parentheses sin squared x plus cos squared x close parentheses squared minus 2 sin squared x. cos squared x equals 1 minus fraction numerator sin squared space 2 x over denominator 2 end fraction F o r space m a x i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma sin space 2 x equals 0 S o comma space f left parenthesis x right parenthesis equals 1 minus 0 over 2 equals 1 F o e space m i n i m u m space v a l u e space o f space f left parenthesis x right parenthesis comma space sin space 2 x space equals 1 S o comma space f left parenthesis x right parenthesis equals 1 minus 1 squared over 2 equals 1 half$

Related Questions to study

Figure shows a network of eight resistors, each equal to 2 $blank capital omega$ , connected to a 3V battery of negligible internal resistance. The current $I$ in the circuit is

Figure shows a network of eight resistors, each equal to 2 $blank capital omega$ , connected to a 3V battery of negligible internal resistance. The current $I$ in the circuit is

physics-General

The equivalent resistance between $A blank a n d blank B$ in the given circuit is

The equivalent resistance between $A blank a n d blank B$ in the given circuit is

physics-General

Which of the following is/are the rate determining step(s) of the given reaction?

Which of the following is/are the rate determining step(s) of the given reaction?

chemistry-General

parallel

Maximum value of $fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction$

Maximum value of $fraction numerator 1 over denominator square root of 7 sin space x plus square root of 29 cos space x plus 7 end fraction$

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are

The minimum and maximum values of $2 square root of 2 cos space x plus sin space x$ are

(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?

(A) and(C) are different compound s and rotate the plane-polarised light in the same direction, andboth are dextrorotatory. Both (A) and(C) do not show diastereomers, whichof the following statements are correct?

chemistry-General

parallel

Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?

Which of the following dienes and dienophiles could be used to synthesise the following compound (A) ?

chemistry-General

16 sin $x cos space x cos space 2 x cos space 4 x cos space 8 x element of$

16 sin $x cos space x cos space 2 x cos space 4 x cos space 8 x element of$

Five conductors are meeting at a point x as shown in the figure. What is the value of current in fifth conductor?

Five conductors are meeting at a point x as shown in the figure. What is the value of current in fifth conductor?

physics-General

parallel

The figure shows a network of currents. The magnitude of current is shown here. The current I will be

The figure shows a network of currents. The magnitude of current is shown here. The current I will be

physics-General

The equivalent resistance between the terminals $A blank a n d blank B$ in the following circuit is

The equivalent resistance between the terminals $A blank a n d blank B$ in the following circuit is

physics-General

The equivalent resistance between points A and B of an infinite network of resistances, each of 1 $blank capital omega$ , connected as shown is

The equivalent resistance between points A and B of an infinite network of resistances, each of 1 $blank capital omega$ , connected as shown is

physics-General

parallel

The period of $sin space left parenthesis pi sin space theta right parenthesis$ is

The period of $sin space left parenthesis pi sin space theta right parenthesis$ is

The period of $fraction numerator sin space left parenthesis 2 pi x plus a right parenthesis over denominator sin space left parenthesis 2 pi x plus b right parenthesis end fraction$ is

The period of $fraction numerator sin space left parenthesis 2 pi x plus a right parenthesis over denominator sin space left parenthesis 2 pi x plus b right parenthesis end fraction$ is

Period of tan 4x+sec 4x is

Period of tan 4x+sec 4x is

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.