Home
Class 11
MATHS
The minimum and maximum values of sin (x...

The minimum and maximum values of `sin (x+(pi)/(4) ) sin ( x - (pi)/(4))` are

A

`-1, 1`

B

`-(1)/(2), (1)/(2)`

C

`-(3)/(2), (3)/(2)`

D

`-(1)/(4), (1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(More than one correct answer type questions)|4 Videos

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Lecture Sheet (Exercise - II )(Statement Type Questions)|3 Videos

  • PERIODICITY AND EXTREME VALUES

    AAKASH SERIES|Exercise Practice Sheet (Exericise-I) Level-II (Straight Objective Type Questions)|31 Videos

  • PERIODICITY AND EXTEME VALUES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE) LEVEL-I(MAIN) Extreme values ( Single answer type questions )|23 Videos

  • PERIODICITY EXTREME VALUES AND GRAPHS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

Find the extreme values of (1+ sin ((pi)/(4) + x) + cos ((pi)/(4) - x))

The minimum and maximum values of cos x + 3sqrt(2)sin(x+(pi)/(4)) + 6 are

Knowledge Check

  • The minimum and maximum values of cos x + 3 sqrt2 sin ( x+ (pi)/(4) )+6 are

    A
    `1,11`
    B
    `11,-1`
    C
    `6,5`
    D
    `5,6`

  • Maximum value of sin x cos (pi//4-x) is

    A
    `(sqrt(2) + 1) // 2sqrt(2) `
    B
    `(sqrt(2)-1)//2sqrt(2)`
    C
    `(sqrt(2)+1)//sqrt(2) `
    D
    `(sqrt(2) +1)//2 `

  • The minimum and maximum values of sin^(4) x + cos^(4) x are

    A
    `1/2, 3/2`
    B
    `1/2,`1
    C
    `1, 3/2`
    D
    `1,2`

    • Similar Questions

    Explore conceptually related problems

    Maximum value of sin^(4) x+ cos^(4) x is

    The maximum value of sin^(2)""((pi)/(3) + pi) +sin^(2)""((pi)/3-x) is

    the period of sin ((pi)/(3) -x ) sin ((pi)/(3) + x) is

    Lt_(x to oo)x cos ((pi)/(4x))sin((pi)/(4x))=

    The maximum value of 2 sin x + sin 2x in [0, 2pi ] is

    Home
    Profile