Home
Class 11
MATHS
If sin(sin x + cos x) = cos (cos x - sin...

If `sin(sin x + cos x) = cos (cos x - sin x)` then the largest possible value of sin x is

A

`1/(sqrt(2))`

B

`1`

C

`(sqrt(16-pi^(2)))/4`

D

`(pi)/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRIC EQUATIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL -II LECTURE SHEET (ADVANCED) MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|3 Videos
  • TRIGNOMETRIC EQUATIONS

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

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE -IV (MISCELLAENEOUS STRAIGHT OBJECTIVES TYPE QUESTIONS)|13 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

int sin x sin (cos x) dx

If sin^(3) x + sin x .cos x + cos^(3) x = 1 then x =

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If sin x + cos x =a then |sin x - cos x|=

If sin^(3) x cos 3x + cos^(3) x sin 3x = 3//8 , then the value of 8 sin 4x is ____________.

If sqrt(sin x)+ cos x = 0 then sin x =

If sin x - 3 sin 2x + sin 3x = cos x - 3 cos 2x + cos 3x then x =

(sin 3x + sin x ) sin x + (cos 3x - cos x) cos x =0

If sin^3 x cos 3x + cos^3 x sin 3x = 3//8 , then the value of 8 sin 4x is ............

AAKASH SERIES-TRIGNOMETRIC EQUATIONS-ADDITIONAL PRACTICE EXERCISE (LEVEL -I (MAIN) STRAIGHT OBJECTIVE TYPE QUESTIONS)
  1. The number of solution of the equation tan^(2)x-sec^(10)x+1=0 in (0,10...

    Text Solution

    |

  2. If sqrt( 5 - 2 sin x) = 6 sin x - 1 then x =

    Text Solution

    |

  3. If sin(sin x + cos x) = cos (cos x - sin x) then the largest possible ...

    Text Solution

    |

  4. The number of solutions of sin^(4)x-cos^(2)xsinx+2sin^(2)x+sinx=0 in 0...

    Text Solution

    |

  5. Number of solution (s) satisfying the equation (1)/(si x) - (1)/( sin ...

    Text Solution

    |

  6. The range of alpha for which the equation sin^(4)x+cos^(4)x+sin2x+alph...

    Text Solution

    |

  7. The total number of ordered pairs (x,y) satisfying |x|+|y|=4, sin((pi)...

    Text Solution

    |

  8. e^(|sin x|)+ e^(-|sin x|) + 4 a = 0 will have exactly four different ...

    Text Solution

    |

  9. If m and n ( gt m) are positive integer, the number of solutions of ...

    Text Solution

    |

  10. The number of solutions of the equation 2x=3pi(1-cosx) is

    Text Solution

    |

  11. If log ((-x^(2) - 6 x)//10)(sin 3 x + sin x) = log((x^(2) - 6x)//10)(...

    Text Solution

    |

  12. If |2 sin theta-cosec theta|ge1 and thea!=(npi)/2, n in Z then

    Text Solution

    |

  13. If tan^(3)x+3gt3 tan x +tan^(2)xthen

    Text Solution

    |

  14. The number of solutions of [sinx+cosx]=3+[-sinx]+[-cosx] (where [.] d...

    Text Solution

    |

  15. If [sinx]+[sqrt(2)cosx]=-3,x I [0,2pi] ([.] denotes the greatest integ...

    Text Solution

    |

  16. For what values of k the equation sinx+cos(k+x)+cos(k-x)=2 has real so...

    Text Solution

    |

  17. If (sin^(3)"" (x)/(2)-cos^(3)""(x)/(2))/(2 + sin x) = (cos x)/( 3) th...

    Text Solution

    |

  18. If cot(x//2) - cosec (x //2) = cot x then x =

    Text Solution

    |

  19. Determine the smallest postive value of x which satisfies the equatio...

    Text Solution

    |

  20. The set S(1) and S(2) are solution sets of (1+a)cos theta cos (2 theta...

    Text Solution

    |