Home
Class 10
MATHS
Prove: (cos e c\ A)/(cos e c\ A-1)+(cos ...

Prove: `(cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A`

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 (cos C + cos A)/(c + a) + (cos B)/(b) = (1)/(b)

Prove: sqrt((1-cosA)/(1+cosA))+sqrt((1+cosA)/(1-cosA))=2 cos e c A

The expression (t a n A)/(1-cot A)+(cot A)/(1-t a n A) can be written as sin A cos A+1 b. s e c A\ cos e c A+1 c. t a n A+cot A d. s e c A+cos e c A

Evaluate: intsqrt(cos e c\ x-1)\ dx

The expression (tanA)/(1-cotA)+(cotA)/(1-tanA) can be written as (1) s e c A""cos e c A""+""1 (2) t a n A""+""cot A (3) s e c A""+""cos e c A (4) s in A""cos A""+""1

In a ABC, prove the following :a(cos B+cos C-1)+b(cos C+cos A-1)+c(cos A+cos B-1)=0

Evaluate: int1/(cotx+cos e c\ x)\ dx

In a A B C , if r_1+r_3+r=r_2, then sec^2A+cos e c^2B is equal to 1-cos^2C (2) 2 1+cos e c^2C (4) 2-cot^2C

Prove that : (sin 2A+sin 2B + sin 2C)/(cos A + cos B + cos C-1) = 8 cos(A/2) cos( B/2) cos( C/2)

(sin theta) / (cos e) c (theta) + (cos (theta)) / (sec (theta)) = 1

RD SHARMA-TRIGONOMETRIC IDENTITIES-All Questions
  1. Prove: 1/(secA-1)+1/(secA+1)=2\ cos e c\ AcotA

    Text Solution

    |

  2. Prove the following identities: (cosA)/(1-tanA)+(sinA)/(1-cotA)=cos...

    Text Solution

    |

  3. Prove: (cos e c\ A)/(cos e c\ A-1)+(cos e c\ A)/(cos e c\ A+1)=2sec^2A

    Text Solution

    |

  4. Prove: (1+tan^2A)+(1+1/(tan^2A))=1/(sin^2A-sin^4A)

    Text Solution

    |

  5. (tan^2A)/(1+tan^2A)+(cot^2A)/(1+cot^2A)=1

    Text Solution

    |

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

    Text Solution

    |

  7. (1+costheta+sintheta)/(1+costheta-sintheta)=(1+sintheta)/(costheta)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |