Home
Class 11
MATHS
If 7cos^(2)x+sinx cos x-3=0 then x=...

If `7cos^(2)x+sinx cos x-3=0` then x=

A

`x=n pi+(pi)/4, n inZ`

B

`x=kpi+tan^(-1)(4/3), k in Z`

C

`x=kpi+tan^(-1)(3/4), k in Z`

D

`x=npi+(pi)/3, n in Z`

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) LINKED COMPREHENSION TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|8 Videos
  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)|53 Videos
  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos

Similar Questions

Explore conceptually related problems

If sin x ( cos ""(x)/( 4) - 2 sin x) + ( 1 + sin "" (x)/( 4) - 2 cos x) cos x = 0 then x =

cos 3x + cos x - cos 2x =0

Knowledge Check

  • If 7 cos ^(2) x + sin x cos x - 3 then x =

    A
    `x = n pi + (3 pi)/(4), n in Z`
    B
    `x = k pi + tan^(-1) ((4)/(3)), k in Z`
    C
    `x = k + tan^(-1) ((4)/(3)) , k in Z`
    D
    `x = n pi + (pi)/(3), n in Z`
  • If 4cos^(2)x sin x - 2 sin^(2)x=3sinx , then x =

    A
    `n pi +(-1)^(n)pi//10`
    B
    `n pi -(-1)^(n)pi//10`
    C
    `2n pi pm pi//10`
    D
    `n pi + pi//10`
  • If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

    A
    `n pi + pi//8`
    B
    `n pi//2 + pi//8`
    C
    `(-1)^(2)n pi//2 + pi//8`
    D
    `2n pi + Cos^(-1)3//2`
  • Similar Questions

    Explore conceptually related problems

    If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) then x =

    If f(x) = cos^(2) x + cos^(2) 2x + cos^(2) 3x , then the number of values of x in [0, 2pi] for which f(x) = 1 is

    int_0^(x/2) (cos^3 x)/(sin x+ cos x) dx=

    If tanx = (2b)/(a-c) , a ne c, y = a cos^2 x + 2b sinx.cos x + c sin^2 x z = a sin^2 x -2b sinx.cos x+"c" cos ^2x then

    If 8 cos x+15 sinx=15 and cos xne 0 then 8 sinx-15 cosx=