Home
Class 11
MATHS
The sides of a triangle, sin alpha, cos ...

The sides of a triangle, `sin alpha, cos alpha` and `sqrt(1+ sin alpha cos alpha)` Then the greatest angle of the triangle is :

A

`60^@`

B

`90^@`

C

`120^@`

D

`150^@`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • TRIGNOMETRY

    MODERN PUBLICATION|Exercise EXERCISE|730 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise EXERCISE|304 Videos

Similar Questions

Explore conceptually related problems

If tan theta=(sin alpha- cos alpha)/(sin alpha+cos alpha) , then:

The lengths of the sides of a triangle are alpha-beta, alpha+beta and sqrt(3alpha^2+beta^2), (alpha>beta>0) . Its largest angle is

If sin 3 alpha =4 sin alpha sin (x+alpha ) sin(x-alpha ) , then

Find A^2 if A = [(cos alpha, sinalpha),(-sin alpha, cos alpha)]

If A= [[cos alpha, -sin alpha],[sin alpha, cos alpha]] , then A + A'= I, the value of a is :

If sin (3alpha) /cos(2alpha) < 0 If alpha lies in

If A=[{:(cos alpha, -sin alpha),(sin alpha,cos alpha):}] then A+A'=I, if the value of alpha is ……

One side of a square makes an angle alpha with x axis and one vertex of the square is at origin. Prove that the equations of its diagonals are x(sin alpha+ cos alpha) =y (cosalpha-sinalpha) or x(cos alpha-sin alpha) + y (sin alpha + cos alpha) = a , where a is the length of the side of the square.

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. If alpha, beta be such that pi < alpha- beta < 3 pi. If sin alpha +sin...

    Text Solution

    |

  2. If theta and phi are acute angles, sin theta=1/2, cos phi= 1/3, then t...

    Text Solution

    |

  3. The sides of a triangle, sin alpha, cos alpha and sqrt(1+ sin alpha co...

    Text Solution

    |

  4. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  5. If in Delta ABC, the altitudes from the vertices A, B and C on opposit...

    Text Solution

    |

  6. if cos(alpha-beta)=1a n dcos(alpha+beta)=l/e , where alpha,betamu in [...

    Text Solution

    |

  7. The number of solutions of the pair of equations: 2 sin^2 theta- cos 2...

    Text Solution

    |

  8. If p and q are positive real numbers such that p^2+ q^2=1, then the m...

    Text Solution

    |

  9. If sin^-1(x/5) + cosec^-1(5/4)= pi/2, then a value of x is

    Text Solution

    |

  10. AB is a vertical pole with B at the ground level and A at the top. A m...

    Text Solution

    |

  11. For 0 lt theta lt pi/2 , the solution (s) of sum(m=1)^6cos e c(theta+(...

    Text Solution

    |

  12. If (sin^(4)x)/(2)+(cos^(4)x)/(3)=1/5, then

    Text Solution

    |

  13. Let A and B denote the statements A : cos alpha + cos beta + cos gam...

    Text Solution

    |

  14. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  15. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  16. Let ABC be a triangle such that angle ABC =pi/6. If a, b and c denote ...

    Text Solution

    |

  17. Let cos(alpha+beta)""=4/5 and let sin (alpha+beta)""=5/(13) where 0lt=...

    Text Solution

    |

  18. If A=sin^(2)x+cos^(4)x, then for all real x

    Text Solution

    |

  19. The possible values of theta in (0,pi) such that sin (theta)+sin(4 th...

    Text Solution

    |

  20. Prove that 3/4 le cos^2 theta +sin^4 thetale1. Hence deduce that 3/4 l...

    Text Solution

    |