Home
Class 10
MATHS
If angleA and angleP are acute angle suc...

If `angleA` and `angleP` are acute angle such that `tanA=tanP`, then show that `angleA=angleP`.

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC IDENTITIES

    RD SHARMA ENGLISH|Exercise All Questions|254 Videos

Similar Questions

Explore conceptually related problems

If A and B are acute angles such that tanA=cotB , then show that A+B =90^(@) .

If tanA=cotB and angles A and B are acute, then

If A, B and C are angles of a triangle such that angleA is obtuse, then show tan B tan C lt 1.

Giving reason show that anglex=anglea+angleb

If A and B are acute angles such that tanA=1/2 , tanB=1/3 and tan(A+B)=(tanA+tan\ B)/(1-tanAtanB) , find A+B .

In the adjoining figure, we have angle1=angle3 and angle2=angle4 . Show that angleA=angleC .

In an acute-angled triangle ABC, tanA+tanB+tanC

In figure, angleB lt angleA and angleC lt angleD . Show that AD lt BC .

If bisectors of angleA and angleB of a quadrilateral ABCD intersect each other at P, of angleB and angleC at Q, of angleC and angleD of R and of angleD and angleA at S, then PQRS is a (A) Rectangle (B) Rhombus (C) Parallelogram (D) Quadrilateral whose opposite angles are supplementary

Find angleP in the figure below.

RD SHARMA ENGLISH-TRIGONOMETRIC RATIOS-All Questions
  1. If cos e c\ A=2 , find the value of 1/(tanA)+(sinA)/(1+cosA)

    Text Solution

    |

  2. If /A and /B are acute angles such that cos A=cos B . then show tha...

    Text Solution

    |

  3. If angleA and angleP are acute angle such that tanA=tanP, then show th...

    Text Solution

    |

  4. In a /\A B C , right angled at A , if tanC=sqrt(3) , find the valu...

    Text Solution

    |

  5. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  6. State whether the following are true or false. Justify your answer. ...

    Text Solution

    |

  7. Evaluate each of the following in the simplest form: sin60ocos30o+co...

    Text Solution

    |

  8. Evaluate the following expressions: (i) 2sin^2 30^otan60^o-3cos^2 60...

    Text Solution

    |

  9. Evaluate the following expressions: (i) 4cot^2 45o-sec^2 60^o + sin^...

    Text Solution

    |

  10. Evaluate each of the following: (sin^2 45^o + cos^2 45^o)/(tan^2 60^...

    Text Solution

    |

  11. Evaluate each of the following: (sin60^o)/(cos^2 45^o)-cot30^o + 15c...

    Text Solution

    |

  12. Show that: 2(cos^2 45°+tan^2 60°)-6(sin^2 45°-tan^2 30°)=6 (ii) 2(...

    Text Solution

    |

  13. Solve each of the following equations when 0^0 < theta<90^0 ...

    Text Solution

    |

  14. Solve each of the following equations when 0 < theta<90 (i) 2sin^2t...

    Text Solution

    |

  15. Find the value of theta in each of the following: (i)2sin2theta=sqrt(3...

    Text Solution

    |

  16. If A=30^@ verify that cos3A=4cos^3A-3cosA

    Text Solution

    |

  17. If x=30^@ , verify that : (i) tan2x=(2tanx)/(1-tan^2x) (ii) sinx=sqr...

    Text Solution

    |

  18. Verify that: sin60o=(2tan30o)/(1+tan^2 30o)=(sqrt(3))/2 (ii) cos60...

    Text Solution

    |

  19. Verify that: (i) cos60^@=cos^2 30^@-sin^2 30^@=1/2

    Text Solution

    |

  20. If theta is an acute angle and sintheta=costheta , find the valu...

    Text Solution

    |