Home
Class 11
MATHS
If 12 sintheta-9sin^2theta attains its m...

If `12 sintheta-9sin^2theta` attains its maximum value at `theta=alpha` , then write the value of `sinalpha` .

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    RD SHARMA ENGLISH|Exercise All Questions|166 Videos

  • TRIGONOMETRIC RATIOS OF MULTIPLE AND SUBMULTIPLE ANGLES

    RD SHARMA ENGLISH|Exercise All Questions|196 Videos

Similar Questions

Explore conceptually related problems

If sintheta=(1)/(2) , then find the value of sin2theta

If sintheta+costheta=1 , then the value of sin2theta is

If 3sintheta+5costheta=5, then write the value of 5sin theta-3costhetadot

If A=2 sin^2 theta - cos 2 theta and A in [alpha, beta] , then find the values of alpha and beta.

Given : 4 sintheta = 3 cos theta , find the value of: sin theta

Write the value of cot^2theta-1/(sin^2theta) .

Express 2cos theta + 3 sin theta in the form r cos ( theta - alpha ), where r is positive, stating the values of r and alpha. What is the maximum value of 2 cos theta + 3 sin theta ?

If 3costheta + 4sin theta = A sin (theta +alpha) , then values of A and alpha are

if sintheta-costheta=0, then the value of (sin^4theta+cos^4theta)

If sintheta-3sin2theta+sin3theta=costheta-3cos2theta+cos3theta , then one of the general value is:

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS OF COMPOUND ANGLES-All Questions
  1. Write the maximum and minimum values of 3cos x+4sin x+5.

    Text Solution

    |

  2. Write the maximum value of 12sinθ.

    Text Solution

    |

  3. If 12 sintheta-9sin^2theta attains its maximum value at theta=alpha , ...

    Text Solution

    |

  4. Write the interval in which the values of 5costheta+3cos(theta+pi/3)+3...

    Text Solution

    |

  5. If tan(A+B)=p\ a n dtan(A-B)=q then write the value of tan2Bdot

    Text Solution

    |

  6. If ("cos"(x-y))/("cos"(x+y))=m/n , then write the value of t a n x\ t ...

    Text Solution

    |

  7. If a=b cos((2pi)/3)= c cos((4pi)/3), then write the value of a b+b c+c...

    Text Solution

    |

  8. If A+B=C , then write the value of t a n A\ t a n B\ t a n Cdot

    Text Solution

    |

  9. If sinalpha-sinbeta=a and cosalpha+cosbeta=b then write the value of "...

    Text Solution

    |

  10. The value of sin^2 75^0-sin^2 15^0 is a. 1//2 b. sqrt(3)//2 c. 1 d. 0

    Text Solution

    |

  11. If A+B+C=180^0,\ then s e c A(cos B cos C-sin B sin C) is equal to:

    Text Solution

    |

  12. tan20^@+tan40^@+sqrt3 tan20^@ tan40^@= (a).sqrt3/4 (b).sqrt3/2 (c).s...

    Text Solution

    |

  13. If tanA=a/(a+1) and tanB=1/(2a+1) then the value of A+B is: (a).0...

    Text Solution

    |

  14. If 3sintheta+4costheta =5 then find the value of: 4sintheta-3costheta

    Text Solution

    |

  15. The value of: tan3A-tan2A-tanA =

    Text Solution

    |

  16. If A+B+C=180^0 , then (t a n A+t a n B+t a n C)/(t a n A\ t a n B\ t a...

    Text Solution

    |

  17. If cosP=1/7a n d\ cos Q=(13)/(14)w h e r e\ P\ a n d\ Q both are acute...

    Text Solution

    |

  18. If cot(alpha+beta)=0\ t h e n\ "sin"(alpha+2beta) is equal to a. sin...

    Text Solution

    |

  19. (cos 10^0+sin 10^0)/(cos 10^0-sin 10^0) is equal to tan55^0 b. cos ...

    Text Solution

    |

  20. The value of cos^2(pi/6+theta)-sin^2\ \ (pi/6-theta) is a,1/2cos2theta...

    Text Solution

    |