Home
Class 10
MATHS
Prove: (tantheta+1/(costheta))^2+(tanthe...

Prove: `(tantheta+1/(costheta))^2+(tantheta-1/(costheta))^2=2((1+sin^2theta)/(1-sin^2theta))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|366 Videos

  • TRIGONOMETRIC RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|249 Videos

Similar Questions

Explore conceptually related problems

Prove: (1+tan^2theta)/(1+cot^2theta)=((1-tantheta)/(1-cottheta))^2=tan^2theta

Prove that: (sin2theta)/(1+cos2theta)=tantheta

Prove: (1+sectheta)/(sectheta)=(sin^2theta)/(1-costheta)

prove (tantheta +sectheta-1)/(tantheta-sectheta+1) = (1+sintheta)/(costheta)

Prove that : (tantheta/(1-tantheta))-(cottheta/(1-cottheta))=(costheta+sintheta)/(costheta-sintheta)

Prove that: a) (sin2theta)/(1+cos2theta) = tantheta b) (1+sin2theta+cos2theta)/(1+sin2theta-cos2theta)=cottheta

Prove that : (sintheta-costheta)/(sintheta+costheta)+(sintheta+costheta)/(sintheta-costheta)=(2)/(2sin^(2)theta-1)

Prove that: (i) (costheta)/(1-sintheta)=(1+sintheta)/(costheta) (ii) (1+costheta-sin^(2)theta)/(sintheta+sinthetacostheta)=cottheta (iii) 1+(tan^(2)theta)/(1+sectheta)=sectheta

Prove (tantheta+2)(2tantheta+1)=5tantheta+2sec^2theta.

Prove that : (sectheta+tantheta-1)/(tantheta-sectheta+1)=(costheta)/(1-sintheta)

RD SHARMA ENGLISH-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: (1+costheta-sin^2theta)/(sintheta(1+costheta))= cottheta

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. Prove:(cosAcosecA-sinAsecA)/(cosA+sinA)=cosecA-secA

    Text Solution

    |

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

    Text Solution

    |

  12. Prove: (tanA)/((1+tan^2A)^2)+(cotA)/((1+cot^2A)^2)=sinAcosA

    Text Solution

    |

  13. Prove: sec^4A(1-sin^4A)-2tan^2A=1

    Text Solution

    |

  14. Prove: (cot^2A(secA-1))/(1+sinA)=sec^2A((1-sinA)/(1+secA))

    Text Solution

    |

  15. Prove: sin^2Acos^2B-cos^2Asin^2B=sin^2A-sin^2B

    Text Solution

    |

  16. Prove: (cotA+tanB)/(cotB+tanA)=cotAtanB

    Text Solution

    |

  17. Prove: (tanA+tanB)/(cotA+cotB)=tanAtanB

    Text Solution

    |

  18. Prove: cot^2A cos e c^2B-cot^2B cos e c^2A=cot^2A-cot^2B .

    Text Solution

    |

  19. Prove: tan^2Asec^2B-sec^2Atan^2B=tan^2A-tan^2B

    Text Solution

    |

  20. If 3sintheta+5costheta=5, then show that 5sintheta-3theta=+-3.

    Text Solution

    |