Home
Class 10
MATHS
(1+costheta+sintheta)/(1+costheta-sinthe...

`(1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)`

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA|Exercise All Questions|361 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

prove that- (sintheta+1-costheta)/(costheta-1+sintheta)=(1+sintheta)/costheta

If (1+ sintheta-costheta)/(1+ sintheta + costheta)+(1+sintheta+costheta)/(1+sintheta-costheta)= 4 , then which of the following values will be suitable for theta ?

(sintheta)/(1+costheta) + (1+costheta)/(sintheta) = 2 cosec theta

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to 1+x (b) 1-x (c) x (d) 1/x

Simplify : 1/( Costheta Sintheta ) + ( Costheta Sintheta )/( CosthetaSintheta )

Prove that : (i) (1-cosA)/(sinA)=(sinA)/(1+cosA) (ii) (costheta)/(1-sintheta)=(1+sintheta)/(costheta)

(sintheta+costheta)/(sintheta-costheta)+(sintheta-costheta)/(sintheta+costheta) =_____________.

Prove that : (sintheta)/(1+costheta)+(1+costheta)/(sintheta)=2"cosec"theta

If A = ((costheta,-sintheta),(sintheta,costheta)) then

Show that every real orthogonal matrix is of any one of the forms {:[(costheta,-sintheta),(sintheta,costheta)]:}or{:[(costheta,sintheta),(sintheta,-costheta)]:}

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

    Text Solution

    |

  2. Prove that (cotA-cosA)/(cotA+cosA)=(cosecA-1)/(cosecA+1)

    Text Solution

    |

  3. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

    Text Solution

    |

  4. (sintheta-costheta+1)/(sintheta+costheta-1)=1/(sectheta-tantheta)

    Text Solution

    |

  5. Prove that (costheta-sintheta+1)/(costheta+sintheta-1)=c o s e ctheta+...

    Text Solution

    |

  6. Prove: tan^2A+cot^2A=sec^2A cos e c^2A-2

    Text Solution

    |

  7. Prove: (1-tan^2A)/(cot^2A-1)=tan^2A

    Text Solution

    |

  8. Prove: 1+(cot^2theta)/(1+cos e c\ theta)=cos e c\ theta

    Text Solution

    |

  9. Prove: (costheta)/(cos e c\ theta+1)+(costheta)/(cos e c\ theta-1)=2ta...

    Text Solution

    |

  10. Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

    Text Solution

    |

  11. Prove: (tan^3theta)/(1+tan^2theta)+(cot^3theta)/(1+cot^2theta)=secthet...

    Text Solution

    |

  12. Prove: (tantheta+1/(costheta))^2+(tantheta-1/(costheta))^2=2((1+sin^2t...

    Text Solution

    |

  13. Prove the following identity: (1/(sec^2theta-cos^2theta)+1/(cos e c^2t...

    Text Solution

    |

  14. Prove: ((1+sintheta-costheta)/(1+sintheta+costheta))^2=(1-costheta)/(1...

    Text Solution

    |

  15. Prove: (secA+tanA-1)(secA-tanA+1)=2tanA

    Text Solution

    |

  16. Prove: (1+cotA-cos e c\ A)(1+tanA+secA)=2

    Text Solution

    |

  17. Prove: (cos e c\ theta-sectheta)(cottheta-tantheta)=(cos e c\ theta+se...

    Text Solution

    |

  18. Prove: (secA-cos e c\ A)(1+tanA+cotA)=tanAsecA-cotA cos e c\ A .

    Text Solution

    |

  19. (cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

    Text Solution

    |

  20. Prove: (sinA)/(secA+tanA-1)+(cosA)/(cos e c\ A+cotA-1)=1

    Text Solution

    |