Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

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

$cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of$

[ $- \frac{1}{2}, \frac{1}{2}$ ]
[ $\frac{1}{2}, 1$ ]
[ $\frac{1}{2}, \frac{3}{2}$ ]
[ $\frac{3}{2}, 2$ ]

hint Hint:

In this question, we have to find the maximum and minimum value of the function given. For that first we will simplify the given trigonometric function, then we will assume the possible range of the function using which we can find the maximum and minimum values.

The correct answer is: [ $1 half comma 3 over 2$ ]

$space space space space cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses equals open parentheses cos space open parentheses 60 plus x close parentheses plus cos open parentheses 60 minus x close parentheses close parentheses squared minus 2 cos space open parentheses 60 minus x close parentheses. cos space open parentheses 60 plus x close parentheses equals open parentheses 2. cos space 60. cos space x close parentheses squared minus open parentheses cos space 2 x space plus cos space 120 space close parentheses equals 4 cross times 1 fourth cross times cos squared x minus cos space 2 x space minus open parentheses fraction numerator negative 1 over denominator 2 end fraction close parentheses equals cos squared x minus cos space 2 x plus 1 half equals cos squared x minus 2 cos squared x plus 1 plus 1 half equals 3 over 2 minus cos squared x$
For maximum value of f (x), $cos squared x equals 0$
f (x)= $3 over 2 minus 0 equals 3 over 2$
For minimum value of f (x), $cos squared x equals 1$
f (x)= $3 over 2 minus 1 equals 1 half$
So, $cos squared space open parentheses 60 to the power of ring operator minus x close parentheses plus cos squared space open parentheses 60 to the power of ring operator plus x close parentheses element of open square brackets 1 half comma 3 over 2 close square brackets$ .

Related Questions to study

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

The effective capacitance between points $X$ and $Y$ shown in figure. Assuming $C subscript 2 end subscript equals 10 blank mu$ F and that outer capacitors are all $4 blank mu$ F is

physics-General

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

The four capacitors, each of 25 $mu$ F are connected as shown in figure. The DC voltmeter reads 200 V. the change on each plate of capacitor is

physics-General

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

For the circuit shown in figure the charge on 4 $mu$ F capacitor is

physics-General

parallel

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

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

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

parallel

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

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

parallel

(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

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

parallel

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

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

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.