Home
Class 11
MATHS
If x acute angle and sin(x + 10^(@)) = c...

If x acute angle and `sin(x + 10^(@)) = cos (3x - 68^(@))` then find x in degree.

Text Solution

Verified by Experts

The correct Answer is:
`x = 37^(@)`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Additional Exercise|14 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise -I|23 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Exercise - 6.1 ( VERY SHORT ANSWERS QUESTIONS)|17 Videos
  • TRIGONOMERTIC RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|77 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

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

If x is acute and sin(x+10^(@))=cos(3x-68^(@)) then find x .

If x lt 90^(@) and sin(x + 28^(@)) = cos(3x - 78^(@)) , then find x

If x= cos 10^(@) - sin 10^(@) then

If 2 sin ^(3) x = cos x then x =

If sin(x-20)^@=cos(3x-10)^@ , then ‘x’ is

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

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

AAKASH SERIES-TRIGONOMETRIC EQUATIONS-Exercise - 6.1 Short Answer Questions
  1. Find the general solution of the equation cos 3 theta = sin 2 theta

    Text Solution

    |

  2. If x acute angle and sin(x + 10^(@)) = cos (3x - 68^(@)) then find x i...

    Text Solution

    |

  3. If sin(270^(@) - x) = cos 292^(@), then find x in (0, 360^(@))

    Text Solution

    |

  4. If x lt 90^(@) and sin(x + 28^(@)) = cos(3x - 78^(@)), then find x

    Text Solution

    |

  5. Solve 2 cos^(2) theta - sqrt(3) sin theta + 1 = 0.

    Text Solution

    |

  6. Solve the following equations and write general solutions sin^(2) t...

    Text Solution

    |

  7. Solve the following equations and write general solutions tan theta...

    Text Solution

    |

  8. Solve 2sin^(2)x+sin^(2)2x=2

    Text Solution

    |

  9. Solve the following equations and write general solutions 3 sin^(4)...

    Text Solution

    |

  10. Solve the following equations and write general solutions 2sin^(2)...

    Text Solution

    |

  11. Solve the following equations and write general solutions 4 cos^(2...

    Text Solution

    |

  12. Solve the following equations and write general solutions 6 tan^(2...

    Text Solution

    |

  13. Solve the following equations and write general solutions 2 Sin^(2...

    Text Solution

    |

  14. Solve the equation 1 + sin^(2) theta = 3 sin theta cos theta.

    Text Solution

    |

  15. If 0 lt x lt pi/2 then solve cot^2x-(sqrt3+1)cotx+sqrt3=0

    Text Solution

    |

  16. Solve the following equations and write general solutions 2 + sqrt(...

    Text Solution

    |

  17. Solve the following equations and write general solutions sin 2 the...

    Text Solution

    |

  18. Solve the following equations and write general solutions sin 3 the...

    Text Solution

    |

  19. Solve the following equations and write general solutions 1 + sin 2...

    Text Solution

    |

  20. Solve the following equations and write general solutions sec 4 x -...

    Text Solution

    |