Home
Class 12
MATHS
If x is an acute angle and sin (x + 28^(...

If x is an acute angle and `sin (x + 28^(@))=cos (3x - 78^(@))`, then x =

A

0

B

2

C

3

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL II)|20 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise COMPREHENSIONS I|3 Videos
  • TRIGONOMETIC EQUATIONS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL II)|16 Videos
  • TRIGNOMETRIC RATIOS AND IDENTITIES

    FIITJEE|Exercise All Questions|1 Videos
  • VECTOR

    FIITJEE|Exercise NUMERICAL BASED|4 Videos

Similar Questions

Explore conceptually related problems

If sin(x+28^(@))=cos(3x-78^(@)) then x=

If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2y+20^(@)) , then value of sec(x+y) is,

If x , y are acute angles , 0ltx+ylt90^(@)and sin(2x-20^(@))=cos(2y+20^(@)) , then the value of tan (x+y) is :

If cos x = (12)/( 13) and x is an acute angle, then sqrt((1 + (sin x)/(cos x))( 1- tan x)) is

(sin x) ^ (cos x) + e ^ (3x)

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

Find the acute angle between the curve y=sin x&y=cos x

if x and y are acute angles such that cos x+cos y=(3)/(2) and sin x+sin y=(3)/(4) then sin(x+y)=

FIITJEE-TRIGONOMETIC EQUATIONS -ASSIGNMENT PROBLEMS (OBJECTIVE) (LEVEL 1)
  1. Find the number of solution of the equations sin^3 x cos x + sin^...

    Text Solution

    |

  2. If -1lexle0 then sin^(-1)x equals

    Text Solution

    |

  3. If x is an acute angle and sin (x + 28^(@))=cos (3x - 78^(@)), then x ...

    Text Solution

    |

  4. The number of solution of the equation sin theta cos theta cos 2 thet...

    Text Solution

    |

  5. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

    Text Solution

    |

  6. The number of solutions of the equation "tan" x + "sec"x = 2"cos" x ly...

    Text Solution

    |

  7. The equation (cosp-1)^x^2+(cos p)x+s in p=0 in the variable x has real...

    Text Solution

    |

  8. The number of solution of the equation |cotx|=cotx+(1)/(sin x)(0lexle...

    Text Solution

    |

  9. if 1+sinx+sin^2x+sin^3x+...........oo=4+2sqrt3, 0 ltx lt pi and x !=p...

    Text Solution

    |

  10. The solution set of sin(x+pi/4)=sin 2x

    Text Solution

    |

  11. If a,b,c be positive real numbers and the value of theta=tan^(- 1)sqrt...

    Text Solution

    |

  12. The greatest possible value of the expression tan (x+2pi)/(3)-tan(x+(p...

    Text Solution

    |

  13. cos^(-1)\ (cos(2\ cot^(-1)\ (sqrt(2)-1)))

    Text Solution

    |

  14. All the pairs (x, y) that satisfy the inequality 2 sqrt(sin^(2) x - ...

    Text Solution

    |

  15. If (1-tan theta)(1+tan theta)sec^2 theta+2^(tan^2 theta)=0 then in the...

    Text Solution

    |

  16. Number of solution of the equation 4sin^(2)x+tan^(2)x+cot^(2)x+cosec^(...

    Text Solution

    |

  17. The number of solutions of the equation 16(sin^(5)x +cos^(5)x)=11(sin ...

    Text Solution

    |

  18. The number of values of x in the interval [0,5pi] satisfying the equat...

    Text Solution

    |

  19. The set of values of x for which sinx cos^(3)x gt cos x sin^(3)x,0le x...

    Text Solution

    |

  20. a in N, a <=100}, and [tan^2 x] -tan x- a=0 has a real roots (where, [...

    Text Solution

    |