Home
Class 12
MATHS
If sin theta+cos theta=a,tan theta+cot t...

If `sin theta+cos theta=a,tan theta+cot theta=b,` show that `(a^(2)-1)/(2)=(1)/(b)`

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

Show that cot theta +tan theta =sec theta cosec theta

If tan theta+ cot theta = 2 , then tan^2 theta+ cot^2 theta =

Prove that, cot theta - tan theta = 2cot 2 theta

If y=(1+sin theta+cos theta)/(1+sin theta-cos theta)," show that, " (dy)/(d theta)+(1)/(1-cos theta)=0 .

If sin theta + sin 2 theta = a " and " cos theta + cos 2 theta = b, "show that," (a^(2) + b^(2))(a^(2) +b^(2) -3)=2b

If (sin theta + cos theta )=sqrt(2) cos theta , show that cot theta =(sqrt(2)+1).

If x=a sin theta and y=b tan theta , then prove that (a^(2))/(x^(2))-(b^(2))/(y^(2))=1 .

If u = (1 + cos theta) (1+ cos2 theta) - sin theta sin 2theta, v = sin theta (1 + cos2 theta) + sin 2 theta(1 + cos theta), "show that" u^(2) + v^(2) = 4(1 + cos theta) (1 + cos 2theta).

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

If tan (pi cos theta)= cot (pi sin theta) , show that cos (theta-(pi)/(4))=+- (1)/(2sqrt(2))

CHHAYA PUBLICATION-MISCELLANEOUS EXAMPLES-TRIGONOMETRY
  1. If the medium AD is perpendicular to the side AB in the triangle ABC, ...

    Text Solution

    |

  2. Show that the perimeter of any triangle is equal to 2 "cos" (A)/(2)...

    Text Solution

    |

  3. If sin theta+cos theta=a,tan theta+cot theta=b, show that (a^(2)-1)/(2...

    Text Solution

    |

  4. If the three side of a triangle be a, b, c and tan theta=(2 sqrt(ab))...

    Text Solution

    |

  5. In the triangle ABC, if cos 3 A + cos 3B+ cos 3C=1, show that the tria...

    Text Solution

    |

  6. Show that : tan 20^(@)+ tan 70^(@)= 2 "cosec" 40^(@)

    Text Solution

    |

  7. Show that : "sin" 2(pi)/(7)+ "sin"(4pi)/(7)-"sin" (6pi)/(7) =4 "sin"...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |