Home
Class 12
MATHS
If sin beta is the GM between sin alpha...

If `sin beta ` is the GM between `sin alpha and cos alpha, then cos 2beta=`

A

`2sin^(2)(pi/4-alpha)`

B

`2cos^(2)(pi/4-alpha)`

C

`2cos^(2)((3pi)/4+2alpha)`

D

`2sin^(2)(pi/4+alpha)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|55 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|13 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

If sin 2 beta is the geometric mean between sin alpha and cos alpha, then cos 4 beta is equal to

Given that sin ^(2) beta = sin alpha cos alpha, show that cos 2 beta=2 cos ^(2) ((pi)/(4) + alpha )).

Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + cos 2(alpha + beta) = cos 2alpha

If sin alpha, sin beta, sin gamma are in AP and cos alpha, cos beta, cos gamma are in GP , then the value of (cos^(2)alpha+cos^(2)gamma+4 cos alpha cos gamma-2 sin alpha sin gamma-2)/(1-2 sin^(2)beta) , where beta != (pi)/(4) , is equal to

If alpha and beta are acute angles such that alpha+beta=lamda , where constant, find the maximum possible value of the expression sin alpha+sin beta+cos alpha+cos beta .

Under rotation of axes through theta , x cosalpha + ysinalpha=P changes to Xcos beta + Y sin beta=P then . (a) cos beta = cos (alpha - theta) (b) cos alpha= cos( beta - theta) (c) sin beta = sin (alpha - theta) (d) sin alpha = sin ( beta - theta)

If sin alpha + sin beta = a and cos alpha + cos beta = b, prove that : cos (alpha-beta) = 1/2 (a^2 + b^2 -2)

If ( cos x - cos alpha)/(cos x - cos beta) = ( sin^2 alpha cos beta)/(sin^2 beta cos alpha) then cos x =

If sin alpha sin beta - cos alpha cos beta + 1=0, then the value of 1+cot alpha tan beta is

Let f(alpha, beta) = =|(cos (alpha + beta), -sin (alpha + beta), cos 2beta),(sin alpha, cos alpha, sin beta),(-cos alpha, sin alpha, cos beta)| if i =int_(-pi//2)^(pi//2) cos ^(2)beta(f(0,beta)+f(0,(pi)/(2)-beta))dbeta then i is

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If Agt0,Bgt0and A+B=(pi)/(6), then the minimum value of tan A+tanB, is

    Text Solution

    |

  2. If cos(theta-alpha),costheta,cos(theta+alpha) are in H.P.,then costhe...

    Text Solution

    |

  3. If sin beta is the GM between sin alpha and cos alpha, then cos 2beta...

    Text Solution

    |

  4. If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is

    Text Solution

    |

  5. If in a triangleABC , (sinA+sinB+sinC)(sinA+sinB-sinC)=3sinAsinB the...

    Text Solution

    |

  6. In a Delta ABC, sin A + sin B + sin C = 1 + sqrt(2) and cos A+cos B+co...

    Text Solution

    |

  7. Point D,E are taken on the side BC of an acute angled triangle ABC,, s...

    Text Solution

    |

  8. In a triangle ABC , if 3a = b + c , then cot B/2 cot C/2 =

    Text Solution

    |

  9. If A+ B+ C=pi, nin Z,then tan nA+ tan +nB +tan nC is equal to

    Text Solution

    |

  10. If A,B,C are angles of a triangle ,then the minimum value of tan^(2)(A...

    Text Solution

    |

  11. If in a triangle ABC, cos A +cos B+cos C=3/2, prove that the triangle ...

    Text Solution

    |

  12. If in a Delta ABC , cos a cos B +- sin A sin B sin C = 1, then show th...

    Text Solution

    |

  13. If in a triangle ABC ,(b+c)/11=(c+a)/12=(a+b)/13 then cosA is equal t...

    Text Solution

    |

  14. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  15. If p(1),p(2),p(3) are altitudes of a triangle ABC from the vertices A,...

    Text Solution

    |

  16. P(1), P(2), P(3) are altitudes of a triangle ABC from the vertices A, ...

    Text Solution

    |

  17. If median of the DeltaABC through A is perpendicular to BC, then which...

    Text Solution

    |

  18. If in a triangle ABC, (sinA)/(sinC) = (sin(A-B))/(sin(B-C)), then

    Text Solution

    |

  19. If in a !ABC ,a tan A + btanB =(a + b) tan((A+B)/2) , then

    Text Solution

    |

  20. If in a triangle ABC , cosA=(sinB)/(2sinC) then the triangle ABC , i...

    Text Solution

    |