Home
Class 12
MATHS
The length of hypotenuse and one side of...

The length of hypotenuse and one side of a right -angle triangle are `[3+2 (sin theta+ cos theta)] and [2(1+ sin theta)+cos theta)]` respectively, show that the lengths of the other side of the triangle is `[ 2(1+cos theta)+ sin theta]`

Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise ALGEBRA|141 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise COORDINATE GEOMETRY (TWO DIMENSIONAL COORDINATE GEOMETRY)|124 Videos

  • MISCELLANEOUS EXAMPLES

    CHHAYA PUBLICATION|Exercise WBJEE 2026|23 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

  • ORDER AND DEGREE OF DIFFERENTIAL EQUATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (E Assertion - Reasion Type )|2 Videos

Similar Questions

Explore conceptually related problems

sin theta+ 2cos theta =1

sin2theta - cos2theta =1

If sin theta = cos theta , what is sin theta - cos theta = ?

(1-cos2theta)/(sin2theta)=

sin4theta cos 2theta = cos5theta sin theta

If sin theta = cos theta then 2 theta =

If (sin theta+cos theta)/(sin theta- cos theta) = 3/2 then cos theta =

Prove that : (1+ sin theta - cos theta) / (1+ sin theta + cos theta ) = tan (theta/2)

(1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=?

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. Show that : "sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin"...

    Text Solution

    |

  2. Show that : tan 70^(@)=2 tan 40^(@)+ tan 20^(@)+ 4 tan 10^(@)

    Text Solution

    |

  3. The length of hypotenuse and one side of a right -angle triangle are ...

    Text Solution

    |

  4. If "cos" A=(3)/(4), show that 32 "sin" (A)/(2) "sin" (5A)/(2)=11

    Text Solution

    |

  5. If cos A = tan B , cos B= tan C, cos C= tanA, show that sin A= sin B= ...

    Text Solution

    |

  6. If tan (pi cot theta )= cot (pi tan theta), then show that tan theta= ...

    Text Solution

    |

  7. If tan (pi cos theta)= cot (pi sin theta), show that cos (theta-(pi)/(...

    Text Solution

    |

  8. If u(n)=2 cos n theta, then show that u(n+1)= u(1)u(n)-u(n-1), hence, ...

    Text Solution

    |

  9. Show that the value of (cot 3x)/(cot x) cannot lie between (1)/(3) an...

    Text Solution

    |

  10. If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =...

    Text Solution

    |

  11. Show that 3(sin x- cos x)^(4)+4 (sin ^(6)x+cos^(6)x)+ 6(sin x+cos x)^(...

    Text Solution

    |

  12. Show that 1+cos 56^(@)+ cos 58^(@)-cos66^(@)=4 cos 28^(@) cos 29^(@...

    Text Solution

    |

  13. If alpha= (2pi)/(7), then prove that cos alpha+ cos 2 alpha+ cos 4alph...

    Text Solution

    |

  14. In any triangle ABC if sin A sin B sin C+ cos A cos B=1, then show tha...

    Text Solution

    |

  15. If sin theta+ sin phi= sqrt(3)( cos phi- cos theta), then show that si...

    Text Solution

    |

  16. Prove that : tan 70^(@)+ tan 10^(@)- tan 50^(@)= sqrt(3)

    Text Solution

    |

  17. Prove that : 4 sin 50^(@)- sqrt(3) tan 50^(@)=1

    Text Solution

    |

  18. If alpha, beta , gamma lengths of the altitudes of a triangle ABC, pro...

    Text Solution

    |

  19. If a sin theta+ b cos theta=0,then find theta

    Text Solution

    |

  20. If cos^(3) theta = kcos (alpha- 3 theta) and sin ^(3) theta= ksin (alp...

    Text Solution

    |