Home
Class 12
MATHS
If sin 54^circ = 1/2 + sin theta, 0 lt t...

If `sin 54^circ = 1/2 + sin theta`, `0 lt theta lt pi/2`, then `theta` = _____.

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos

  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos

  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

If 3 sin 2 theta = 2 sin 3 theta and 0 lt theta lt pi , then sin theta =

Statement I If 2 cos theta + sin theta=1(theta != (pi)/(2)) then the value of 7 cos theta + 6 sin theta is 2. Statement II If cos 2theta-sin theta=1/2, 0 lt theta lt pi/2 , then sin theta+cos 6 theta = 0 .

If sin theta + 2 cos theta = 1, where 0 lt theta lt (pi)/(2), then what is 2 sin theta - cos theta equal to ?

If (sin 3theta)/(cos 2theta)lt 0 , then theta lies in

Fill in the blanks ine ach of the following so that that resulting sentence becomes true. If sin theta=2/3, (5pi)/2 lt theta lt 3pi then sin (theta/2) = __________.

If cosec theta - cot theta = 1/2, 0 lt theta lt pi/2, then cos theta is equal to

If sin theta=(1)/(2) and 0^(@) lt theta lt 90^(@) , then cos2 theta =_________

If sin theta = sqrt(3) cos theta, 0 lt theta lt 90^(@) , then theta is equal to .

If 3sin theta = 2cos^(2) theta, 0^circ lt theta lt 90^circ , then the value of (tan theta+ cos theta + sin theta) is:

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. The numerical value of cot^(2)36^circ* cot^(2)72^circ =.

    Text Solution

    |

  2. The numerical value of sin 12^circ* sin 48^circ* sin 54^circ= .

    Text Solution

    |

  3. If sin 54^circ = 1/2 + sin theta, 0 lt theta lt pi/2, then theta = .

    Text Solution

    |

  4. The numerical value of tan 225^circ *cot 405^circ + tan 765^circ* cot...

    Text Solution

    |

  5. The numerical value of cos 2pi/7 + cos 4pi/7 + cos 6pi/7 is=........

    Text Solution

    |

  6. If (1 + sin 2x)/(1- sin2x) = tan^(2) *(alpha +x) for all x then the ...

    Text Solution

    |

  7. If cos(x -y), cos x and cos(x + y) are in HP then cos x* sec (y/2)= .

    Text Solution

    |

  8. If A, B, C are in AP and B = pi/4 , then tan A *tan B*tan C = .

    Text Solution

    |

  9. If p in (0, pi) then the set of values of p for which sin p* cos^(3) ...

    Text Solution

    |

  10. sec^(2)theta = frac{4xy}{(x+y)^(2)} is true if and only if

    Text Solution

    |

  11. If cos theta + sec theta = 2 then cos^(n)theta+ sec^(n)theta is equal ...

    Text Solution

    |

  12. If alpha = theta1 +theta2 and x = theta1 -theta2 and tan theta1 = lamb...

    Text Solution

    |

  13. If ABCD is a cyclic quadrilateral then cos A + cos B + cos C + cos D ...

    Text Solution

    |

  14. tan 40^@ + 2tan 10^@ is equal to

    Text Solution

    |

  15. If cos(alpha + gamma)/cos(alpha - gamma) = cos 2beta then tan alpha, t...

    Text Solution

    |

  16. The value of sqrt3 cosec 20^circ - sec 20^circ is equal to

    Text Solution

    |

  17. The number of real values of x for which sin(e^x) = 5^(x)+5^(-x) is

    Text Solution

    |

  18. If cot y= (sin x- sin z)/(cos z- cos x) then which of the following ...

    Text Solution

    |

  19. What is the real part of ( sin x + icos x )^(3), where i= sqrt( -1) ?

    Text Solution

    |

  20. If alpha, beta be the solutions of theta for the equation a tan theta...

    Text Solution

    |