Home
Class 12
MATHS
If alpha,beta,gamma,delta are the smalle...

If `alpha,beta,gamma,delta` are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity `k ,` then the value of `4sinalpha/2+3sinbeta/2+2singamma/2+sindelta/2` is equal to `2sqrt(1-k)` (b) `2sqrt(1+k)` `(sqrt(1-k))/2` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta,gamma,delta are the smallest positive angles in ascending order of magnitude which have their sines equal to the positive quantity k , then the value of 4sin(alpha/2)+3sin(beta/2)+2sin(gamma/2)+sin(delta/2) is equal to (a) 2sqrt(1-k) (b) 2sqrt(1+k) (c) (sqrt(1-k))/2 (d) none of these

If cos28^0+sin28^0=k^3, t h e ncos17^0 is equal to (a) (k^3)/(sqrt(2)) (b) -(k^3)/(sqrt(2)) (c) +-(k^3)/(sqrt(2)) (d) none of these

If cos28^0+sin28^0=k^3, t h e ncos17^0 is equal to (k^3)/(sqrt(2)) (b) -(k^3)/(sqrt(2)) (c) +-(k^3)/(sqrt(2)) (d) none of these

If alpha,beta,gamma are ccute angles and costheta=sinbeta//sinalpha,cosvarphi=singammasinalphaa n dcos(theta-varphi)=sinbetasingamma , then the value of tan^2alpha-tan^2beta-tan^2gamma is equal to -1 (b) 0 (c) 1 (d) 2

In a triangle ABC, a^4+b^4+c^4=2a^2b^2+b^2c^2+2a^2c^2 then sinA is equal to (A) 1/sqrt(2) (B) 1/2 (C) sqrt(3)/2 (D) none of these

If alpha,beta,gamma are acute angles and costheta=sinbeta//sinalpha,cosvarphi=singamma//sinalpha and cos(theta-varphi) = sinbetasingamma , then the value of tan^2alpha-tan^2beta-tan^2gamma is equal to (a) -1 (b) 0 (c) 1 (d) 2

If alpha and beta are the solution of sinx=-(1)/(2) in [0, 2pi] and alpha and gamma are the solutions of cos x=-(sqrt3)/(2) in [0, 2pi] , then the value of (alpha+beta)/(|beta-gamma|) is equal to

1/(sqrt(9)-\ sqrt(8)) is equal to: (a) 3+2sqrt(2) (b) 1/(3+2sqrt(2)) (c) 3-2sqrt(2) (d) 3/2-\ sqrt(2)

If alpha,beta,gamma, in (0,pi/2) , then prove that (s i(alpha+beta+gamma))/(sinalpha+sinbeta+singamma)<1

If alpha, beta, gamma in [0,2pi] , then the sum of all possible values of alpha, beta, gamma if sin alpha=-1/sqrt(2), cos beta=-1/sqrt(2), tan gamma =-sqrt(3) , is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The third term of a G.P. is the square of the first term. If the secon...

    Text Solution

    |

  2. Urn A contains 2 white, 1 black and 3 red balls, urn B contains 3 w...

    Text Solution

    |

  3. If alpha,beta,gamma,delta are the smallest positive angles in ascendin...

    Text Solution

    |

  4. For the 3 events A, B and C, P (atleast one occurring) = 3/4, P(atleas...

    Text Solution

    |

  5. The sum of three numbers in A.P. is 27, and their product is 504, find...

    Text Solution

    |

  6. Let all letters of word 'MATHEMATICS' are arranged in all possible o...

    Text Solution

    |

  7. Find the sum of all those integers between 100 and 800 each of which o...

    Text Solution

    |

  8. There is a group of 6 persons. They play a game in which each has to...

    Text Solution

    |

  9. Simplify: x/(x-y)-y/(x+y)-(2x y)/(x^2-y^2)

    Text Solution

    |

  10. There are two die A and B both having six faces. Die A has three faces...

    Text Solution

    |

  11. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  12. A line with direction cosines proportional to 2, 1, 2 meets each of ...

    Text Solution

    |

  13. Draw the graph of y=|x^(2)-3|x|+2|.

    Text Solution

    |

  14. The lines (x-2)/(1) = (y-3)/(1) =(z-4)/(-k) and (x-3)/(k)=(y-4)/(1) = ...

    Text Solution

    |

  15. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  16. If A(-4, 0, 3) and B(14, 2, -5), then which one of the following point...

    Text Solution

    |

  17. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  18. A straight line L cuts the lines A B ,A Ca n dA D of a parallelogram A...

    Text Solution

    |

  19. Prove the trigonometric identities: (1-sintheta)/(1+sintheta)=(secthet...

    Text Solution

    |

  20. Two adjacent sides OA and OB of a rectangle OACB are represented by ve...

    Text Solution

    |