( sin x - cos x)^(2) + cos^(2) ((pi)/(4)...

`( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in`

`[0,1]`

`[0,2]`

`[1,2]`

`[0,3]`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

PERIODICITY AND EXTEME VALUES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-II (ADVANCED) More than one correct answer type questions|1 Videos
PERIODICITY AND EXTEME VALUES
AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Matrix matching type questions|2 Videos
PERIODICITY AND EXTEME VALUES
AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos
PAIR OF STRAIGHT LINES
AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos
PERIODICITY AND EXTREME VALUES
AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

Similar Questions

Explore conceptually related problems

The number of solutions of sin^(2) x cos^(2) x = 1 + cos^(2) x sin^(4) x in the inverval [0, 2 pi] is

(cos x + cos y ) ^(2) + (sin x - sin y ) ^(2) = 4 cos ^(2) ""(x + y )/( 2)

The value of cos y cos ((pi)/(2) - x) - cos ((pi)/(2) - y) cos x + sin y cos ((pi)/(2) - x) + cos x sin ((pi)/(2) - y) is zero if

If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + cos^(4) x + sin^(2) x cos^(2) x) , x in ( 0, (pi)/(2) ) , then

Prove cos ((pi)/(4) - x) cos ((pi)/(4) -y) - sin ((pi)/(4) -x) sin ((pi)/(4) -y) = sin ( x +y)

Prove that cos ^(2) x + cos ^(2) (x + (pi)/(3)) + cos ^(2) (x - (pi)/(3)) = 3/2.

Find the extreme values of the following function over R. (i) sin^(2) (60^(0) + x) + sin^(2) (60^(0) - x) (ii) cos (x+ (Pi)/(3) ) + 2sqrt(2) sin (x+ (pi)/(3))-3 (iii) 3 sin^(2) x+ 5 cos^(2) x (iv) cos 2 x+ cos^(2) x (v ) cos x cos ((2pi)/(3) + x) cos ((2pi)/(3)-x)

Show that int_(0)^(pi//4)(x^(2))/((x sin x + cos x)^(2))dx - (4-pi)/(4+pi)

3(sin x + cos x )^(4) + 6(sin x - cos x )^(2) + 4(sin^(6) x + cos^(6) x )=

int_(0)^(pi//2) (16sin x. cos x)/(sin^(4) x + cos^(4)x)dx=

AAKASH SERIES-PERIODICITY AND EXTEME VALUES-LECTURE SHEET (EXERCISE) LEVEL-I(MAIN) (Extreme values) Single answer type questions

Maximum value of (1)/(sqrt((7) sin x+ sqrt( 29) cos x+7))
Text Solution
|
The minimum and maximum values of sin (x+(pi)/(4) ) sin ( x - (pi)/(4)...
Text Solution
|
( sin x - cos x)^(2) + cos^(2) ((pi)/(4) - x) in
Text Solution
|
The minimum value of 2costheta+(1)/(sintheta)+sqrt(2)tan theta in (0, ...
Text Solution
|
Asserton (A ) : 2^(sin theta) + 2 ^(cos theta) le 2^(1-(1)/(sqrt(2)) ...
Text Solution
|
Let A = sin^(8) + cos^(14) theta , then for all real theta
Text Solution
|
If | cos theta{ sin theta + sqrt( sin^(2) theta + sin^(2) alpha)}|le k...
Text Solution
|
If U=sqrt(a^(2)cos^(2) theta+ b^(2) sin^(2) theta)+ sqrt(b^(2)cos^(2) ...
Text Solution
|
If 0 le x le (pi)/(3) then range of f(x) = sec((pi)/(6) - x) sec((pi)/...
Text Solution
|
If tan theta = n tan phi then the maximum value of tan^(2)(theta-phi) ...
Text Solution
|
If ABC is a triangle and tan"" (A)/(2) , tan"" (B)/(2) , tan "" (C )/(...
Text Solution
|
For any real theta, the maximum value of cos^(2) ( cos theta) + sin^(2...
Text Solution
|
If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...
Text Solution
|
If A gt 0 , B gt 0 and A+B = (pi)/(6), then the minimum value of tan A...
Text Solution
|
If y= ( sin^(4) x - cos^(4) x + sin^(2) x cos^(2) x )/( sin^(4) x + co...
Text Solution
|
Let P(x) = ((1- cos 2 x + sin 2x)/(1+ cos2x + sin2x))^(2) + ((1+ cot x...
Text Solution
|
The maximum value of expression |sqrt(sin^(2)x+2a^(2))-sqrt(2a^(2)-1-c...
Text Solution
|
If a sin x + b cos ( x+ theta) + b cos ( x-theta)=d, then the minimum ...
Text Solution
|
If m and M are the minimum and the maximum values of 4 + (1)/(2) sin^(...
Text Solution
|
If a= ( 1)/( 5 cos x+ 12 sin x) then for all real x
Text Solution
|